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Finding the Fourth Proportional to 5,150.52, 7,715.04 and 4,270.98

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Solution

The fourth proportional to 5,150.52, 7,715.04 and 4,270.98 is: 6,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.52 : 7,715.04 = 4,270.98 : x
  2. Step 2: Convert to fraction form
    5,150.52/7,715.04 = 4,270.98/x
  3. Step 3: Cross multiply
    5,150.52x = 7,715.04 × 4,270.98
  4. Step 4: Simplify right side
    5,150.52x = 32,950,781.54
  5. Step 5: Solve for x
    x = 32,950,781.54/5,150.52
  6. Step 6: Final answer
    x = 6,397.56

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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.