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Finding the Fourth Proportional to 10,562.74, 15,918.25 and 9,509.61

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Solution

The fourth proportional to 10,562.74, 15,918.25 and 9,509.61 is: 14,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.74 : 15,918.25 = 9,509.61 : x
  2. Step 2: Convert to fraction form
    10,562.74/15,918.25 = 9,509.61/x
  3. Step 3: Cross multiply
    10,562.74x = 15,918.25 × 9,509.61
  4. Step 4: Simplify right side
    10,562.74x = 151,376,308.42
  5. Step 5: Solve for x
    x = 151,376,308.42/10,562.74
  6. Step 6: Final answer
    x = 14,331.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.