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Finding the Fourth Proportional to 15,042, 22,557.42 and 6,713.76

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Solution

The fourth proportional to 15,042, 22,557.42 and 6,713.76 is: 10,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042 : 22,557.42 = 6,713.76 : x
  2. Step 2: Convert to fraction form
    15,042/22,557.42 = 6,713.76/x
  3. Step 3: Cross multiply
    15,042x = 22,557.42 × 6,713.76
  4. Step 4: Simplify right side
    15,042x = 151,445,104.10
  5. Step 5: Solve for x
    x = 151,445,104.10/15,042
  6. Step 6: Final answer
    x = 10,068.15

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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.