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Finding the Fourth Proportional to 10,609.36, 14,641 and 5,893.68

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Solution

The fourth proportional to 10,609.36, 14,641 and 5,893.68 is: 8,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.36 : 14,641 = 5,893.68 : x
  2. Step 2: Convert to fraction form
    10,609.36/14,641 = 5,893.68/x
  3. Step 3: Cross multiply
    10,609.36x = 14,641 × 5,893.68
  4. Step 4: Simplify right side
    10,609.36x = 86,289,368.88
  5. Step 5: Solve for x
    x = 86,289,368.88/10,609.36
  6. Step 6: Final answer
    x = 8,133.32

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Half scale
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Double scale
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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.