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Finding the Fourth Proportional to 6,590.25, 9,882.63 and 2,430.49

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Solution

The fourth proportional to 6,590.25, 9,882.63 and 2,430.49 is: 3,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.25 : 9,882.63 = 2,430.49 : x
  2. Step 2: Convert to fraction form
    6,590.25/9,882.63 = 2,430.49/x
  3. Step 3: Cross multiply
    6,590.25x = 9,882.63 × 2,430.49
  4. Step 4: Simplify right side
    6,590.25x = 24,019,633.39
  5. Step 5: Solve for x
    x = 24,019,633.39/6,590.25
  6. Step 6: Final answer
    x = 3,644.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.