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Finding the Fourth Proportional to 10,414.74, 15,613.02 and 4,569.42

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Solution

The fourth proportional to 10,414.74, 15,613.02 and 4,569.42 is: 6,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.74 : 15,613.02 = 4,569.42 : x
  2. Step 2: Convert to fraction form
    10,414.74/15,613.02 = 4,569.42/x
  3. Step 3: Cross multiply
    10,414.74x = 15,613.02 × 4,569.42
  4. Step 4: Simplify right side
    10,414.74x = 71,342,445.85
  5. Step 5: Solve for x
    x = 71,342,445.85/10,414.74
  6. Step 6: Final answer
    x = 6,850.14

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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.