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Finding the Fourth Proportional to 6,502.68, 9,753.90 and 1,885.68

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Solution

The fourth proportional to 6,502.68, 9,753.90 and 1,885.68 is: 2,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.68 : 9,753.90 = 1,885.68 : x
  2. Step 2: Convert to fraction form
    6,502.68/9,753.90 = 1,885.68/x
  3. Step 3: Cross multiply
    6,502.68x = 9,753.90 × 1,885.68
  4. Step 4: Simplify right side
    6,502.68x = 18,392,734.15
  5. Step 5: Solve for x
    x = 18,392,734.15/6,502.68
  6. Step 6: Final answer
    x = 2,828.49

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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.