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Finding the Fourth Proportional to 6,501.57, 9,753.38 and 2,118.02

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Solution

The fourth proportional to 6,501.57, 9,753.38 and 2,118.02 is: 3,177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.57 : 9,753.38 = 2,118.02 : x
  2. Step 2: Convert to fraction form
    6,501.57/9,753.38 = 2,118.02/x
  3. Step 3: Cross multiply
    6,501.57x = 9,753.38 × 2,118.02
  4. Step 4: Simplify right side
    6,501.57x = 20,657,794.55
  5. Step 5: Solve for x
    x = 20,657,794.55/6,501.57
  6. Step 6: Final answer
    x = 3,177.35

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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.