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Finding the Fourth Proportional to 7,543.70, 10,414.05 and 4,712.64

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Solution

The fourth proportional to 7,543.70, 10,414.05 and 4,712.64 is: 6,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.70 : 10,414.05 = 4,712.64 : x
  2. Step 2: Convert to fraction form
    7,543.70/10,414.05 = 4,712.64/x
  3. Step 3: Cross multiply
    7,543.70x = 10,414.05 × 4,712.64
  4. Step 4: Simplify right side
    7,543.70x = 49,077,701.66
  5. Step 5: Solve for x
    x = 49,077,701.66/7,543.70
  6. Step 6: Final answer
    x = 6,505.79

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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.