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Finding the Fourth Proportional to 6,640.86, 9,962.25 and 2,258.58

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Solution

The fourth proportional to 6,640.86, 9,962.25 and 2,258.58 is: 3,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.86 : 9,962.25 = 2,258.58 : x
  2. Step 2: Convert to fraction form
    6,640.86/9,962.25 = 2,258.58/x
  3. Step 3: Cross multiply
    6,640.86x = 9,962.25 × 2,258.58
  4. Step 4: Simplify right side
    6,640.86x = 22,500,538.61
  5. Step 5: Solve for x
    x = 22,500,538.61/6,640.86
  6. Step 6: Final answer
    x = 3,388.20

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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.