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Finding the Fourth Proportional to 10,406.41, 15,612.14 and 5,724.20

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Solution

The fourth proportional to 10,406.41, 15,612.14 and 5,724.20 is: 8,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.41 : 15,612.14 = 5,724.20 : x
  2. Step 2: Convert to fraction form
    10,406.41/15,612.14 = 5,724.20/x
  3. Step 3: Cross multiply
    10,406.41x = 15,612.14 × 5,724.20
  4. Step 4: Simplify right side
    10,406.41x = 89,367,065.13
  5. Step 5: Solve for x
    x = 89,367,065.13/10,406.41
  6. Step 6: Final answer
    x = 8,587.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.