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Finding the Fourth Proportional to 6,641.71, 9,962.16 and 2,746.02

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Solution

The fourth proportional to 6,641.71, 9,962.16 and 2,746.02 is: 4,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.71 : 9,962.16 = 2,746.02 : x
  2. Step 2: Convert to fraction form
    6,641.71/9,962.16 = 2,746.02/x
  3. Step 3: Cross multiply
    6,641.71x = 9,962.16 × 2,746.02
  4. Step 4: Simplify right side
    6,641.71x = 27,356,290.60
  5. Step 5: Solve for x
    x = 27,356,290.60/6,641.71
  6. Step 6: Final answer
    x = 4,118.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.