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Finding the Fourth Proportional to 11,961.36, 16,507.44 and 7,246.80

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Solution

The fourth proportional to 11,961.36, 16,507.44 and 7,246.80 is: 10,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.36 : 16,507.44 = 7,246.80 : x
  2. Step 2: Convert to fraction form
    11,961.36/16,507.44 = 7,246.80/x
  3. Step 3: Cross multiply
    11,961.36x = 16,507.44 × 7,246.80
  4. Step 4: Simplify right side
    11,961.36x = 119,626,116.19
  5. Step 5: Solve for x
    x = 119,626,116.19/11,961.36
  6. Step 6: Final answer
    x = 10,001.05

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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.