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Finding the Fourth Proportional to 11,828.56, 16,323.07 and 6,451.14

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Solution

The fourth proportional to 11,828.56, 16,323.07 and 6,451.14 is: 8,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.56 : 16,323.07 = 6,451.14 : x
  2. Step 2: Convert to fraction form
    11,828.56/16,323.07 = 6,451.14/x
  3. Step 3: Cross multiply
    11,828.56x = 16,323.07 × 6,451.14
  4. Step 4: Simplify right side
    11,828.56x = 105,302,466.98
  5. Step 5: Solve for x
    x = 105,302,466.98/11,828.56
  6. Step 6: Final answer
    x = 8,902.39

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.