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Finding the Fourth Proportional to 6,553.60, 9,834.50 and 2,658.02

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Solution

The fourth proportional to 6,553.60, 9,834.50 and 2,658.02 is: 3,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.60 : 9,834.50 = 2,658.02 : x
  2. Step 2: Convert to fraction form
    6,553.60/9,834.50 = 2,658.02/x
  3. Step 3: Cross multiply
    6,553.60x = 9,834.50 × 2,658.02
  4. Step 4: Simplify right side
    6,553.60x = 26,140,255.16
  5. Step 5: Solve for x
    x = 26,140,255.16/6,553.60
  6. Step 6: Final answer
    x = 3,988.69

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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.