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Finding the Fourth Proportional to 6,641.39, 9,962.70 and 1,711.05

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Solution

The fourth proportional to 6,641.39, 9,962.70 and 1,711.05 is: 2,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.39 : 9,962.70 = 1,711.05 : x
  2. Step 2: Convert to fraction form
    6,641.39/9,962.70 = 1,711.05/x
  3. Step 3: Cross multiply
    6,641.39x = 9,962.70 × 1,711.05
  4. Step 4: Simplify right side
    6,641.39x = 17,046,677.84
  5. Step 5: Solve for x
    x = 17,046,677.84/6,641.39
  6. Step 6: Final answer
    x = 2,566.73

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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.