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Finding the Fourth Proportional to 6,641.68, 9,962.38 and 1,711.26

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Solution

The fourth proportional to 6,641.68, 9,962.38 and 1,711.26 is: 2,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.68 : 9,962.38 = 1,711.26 : x
  2. Step 2: Convert to fraction form
    6,641.68/9,962.38 = 1,711.26/x
  3. Step 3: Cross multiply
    6,641.68x = 9,962.38 × 1,711.26
  4. Step 4: Simplify right side
    6,641.68x = 17,048,222.40
  5. Step 5: Solve for x
    x = 17,048,222.40/6,641.68
  6. Step 6: Final answer
    x = 2,566.85

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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.