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Finding the Fourth Proportional to 6,562.78, 9,837.96 and 2,616.47

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Solution

The fourth proportional to 6,562.78, 9,837.96 and 2,616.47 is: 3,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.78 : 9,837.96 = 2,616.47 : x
  2. Step 2: Convert to fraction form
    6,562.78/9,837.96 = 2,616.47/x
  3. Step 3: Cross multiply
    6,562.78x = 9,837.96 × 2,616.47
  4. Step 4: Simplify right side
    6,562.78x = 25,740,727.20
  5. Step 5: Solve for x
    x = 25,740,727.20/6,562.78
  6. Step 6: Final answer
    x = 3,922.23

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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.