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Finding the Fourth Proportional to 6,588.35, 9,882.54 and 1,657.96

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Solution

The fourth proportional to 6,588.35, 9,882.54 and 1,657.96 is: 2,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.35 : 9,882.54 = 1,657.96 : x
  2. Step 2: Convert to fraction form
    6,588.35/9,882.54 = 1,657.96/x
  3. Step 3: Cross multiply
    6,588.35x = 9,882.54 × 1,657.96
  4. Step 4: Simplify right side
    6,588.35x = 16,384,856.02
  5. Step 5: Solve for x
    x = 16,384,856.02/6,588.35
  6. Step 6: Final answer
    x = 2,486.94

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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.