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Finding the Fourth Proportional to 6,338.60, 9,507.90 and 2,442.50

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Solution

The fourth proportional to 6,338.60, 9,507.90 and 2,442.50 is: 3,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.60 : 9,507.90 = 2,442.50 : x
  2. Step 2: Convert to fraction form
    6,338.60/9,507.90 = 2,442.50/x
  3. Step 3: Cross multiply
    6,338.60x = 9,507.90 × 2,442.50
  4. Step 4: Simplify right side
    6,338.60x = 23,223,045.75
  5. Step 5: Solve for x
    x = 23,223,045.75/6,338.60
  6. Step 6: Final answer
    x = 3,663.75

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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.