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Finding the Fourth Proportional to 6,652.60, 9,974.10 and 3,731.80

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Solution

The fourth proportional to 6,652.60, 9,974.10 and 3,731.80 is: 5,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.60 : 9,974.10 = 3,731.80 : x
  2. Step 2: Convert to fraction form
    6,652.60/9,974.10 = 3,731.80/x
  3. Step 3: Cross multiply
    6,652.60x = 9,974.10 × 3,731.80
  4. Step 4: Simplify right side
    6,652.60x = 37,221,346.38
  5. Step 5: Solve for x
    x = 37,221,346.38/6,652.60
  6. Step 6: Final answer
    x = 5,595.01

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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.