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Finding the Fourth Proportional to 12,532.58, 17,287.14 and 8,062.16

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Solution

The fourth proportional to 12,532.58, 17,287.14 and 8,062.16 is: 11,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.58 : 17,287.14 = 8,062.16 : x
  2. Step 2: Convert to fraction form
    12,532.58/17,287.14 = 8,062.16/x
  3. Step 3: Cross multiply
    12,532.58x = 17,287.14 × 8,062.16
  4. Step 4: Simplify right side
    12,532.58x = 139,371,688.62
  5. Step 5: Solve for x
    x = 139,371,688.62/12,532.58
  6. Step 6: Final answer
    x = 11,120.75

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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.