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Finding the Fourth Proportional to 6,592.52, 9,871.56 and 5,270.19

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Solution

The fourth proportional to 6,592.52, 9,871.56 and 5,270.19 is: 7,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.52 : 9,871.56 = 5,270.19 : x
  2. Step 2: Convert to fraction form
    6,592.52/9,871.56 = 5,270.19/x
  3. Step 3: Cross multiply
    6,592.52x = 9,871.56 × 5,270.19
  4. Step 4: Simplify right side
    6,592.52x = 52,024,996.80
  5. Step 5: Solve for x
    x = 52,024,996.80/6,592.52
  6. Step 6: Final answer
    x = 7,891.52

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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.