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Finding the Fourth Proportional to 6,641.40, 9,962.02 and 1,711.02

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Solution

The fourth proportional to 6,641.40, 9,962.02 and 1,711.02 is: 2,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.40 : 9,962.02 = 1,711.02 : x
  2. Step 2: Convert to fraction form
    6,641.40/9,962.02 = 1,711.02/x
  3. Step 3: Cross multiply
    6,641.40x = 9,962.02 × 1,711.02
  4. Step 4: Simplify right side
    6,641.40x = 17,045,215.46
  5. Step 5: Solve for x
    x = 17,045,215.46/6,641.40
  6. Step 6: Final answer
    x = 2,566.51

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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.