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Finding the Fourth Proportional to 6,652.42, 9,978.87 and 1,654.82

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Solution

The fourth proportional to 6,652.42, 9,978.87 and 1,654.82 is: 2,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.42 : 9,978.87 = 1,654.82 : x
  2. Step 2: Convert to fraction form
    6,652.42/9,978.87 = 1,654.82/x
  3. Step 3: Cross multiply
    6,652.42x = 9,978.87 × 1,654.82
  4. Step 4: Simplify right side
    6,652.42x = 16,513,229.52
  5. Step 5: Solve for x
    x = 16,513,229.52/6,652.42
  6. Step 6: Final answer
    x = 2,482.29

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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.