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Finding the Fourth Proportional to 5,147.70, 7,713.32 and 5,011.02

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Solution

The fourth proportional to 5,147.70, 7,713.32 and 5,011.02 is: 7,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.70 : 7,713.32 = 5,011.02 : x
  2. Step 2: Convert to fraction form
    5,147.70/7,713.32 = 5,011.02/x
  3. Step 3: Cross multiply
    5,147.70x = 7,713.32 × 5,011.02
  4. Step 4: Simplify right side
    5,147.70x = 38,651,575.73
  5. Step 5: Solve for x
    x = 38,651,575.73/5,147.70
  6. Step 6: Final answer
    x = 7,508.51

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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.