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Finding the Fourth Proportional to 6,582.60, 9,862.97 and 4,630.70

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Solution

The fourth proportional to 6,582.60, 9,862.97 and 4,630.70 is: 6,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.60 : 9,862.97 = 4,630.70 : x
  2. Step 2: Convert to fraction form
    6,582.60/9,862.97 = 4,630.70/x
  3. Step 3: Cross multiply
    6,582.60x = 9,862.97 × 4,630.70
  4. Step 4: Simplify right side
    6,582.60x = 45,672,456.68
  5. Step 5: Solve for x
    x = 45,672,456.68/6,582.60
  6. Step 6: Final answer
    x = 6,938.36

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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.