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Finding the Fourth Proportional to 6,501.52, 9,753.60 and 2,117.80

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Solution

The fourth proportional to 6,501.52, 9,753.60 and 2,117.80 is: 3,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.52 : 9,753.60 = 2,117.80 : x
  2. Step 2: Convert to fraction form
    6,501.52/9,753.60 = 2,117.80/x
  3. Step 3: Cross multiply
    6,501.52x = 9,753.60 × 2,117.80
  4. Step 4: Simplify right side
    6,501.52x = 20,656,174.08
  5. Step 5: Solve for x
    x = 20,656,174.08/6,501.52
  6. Step 6: Final answer
    x = 3,177.13

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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.