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Finding the Fourth Proportional to 6,248.81, 9,373.22 and 1,865.92

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Solution

The fourth proportional to 6,248.81, 9,373.22 and 1,865.92 is: 2,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.81 : 9,373.22 = 1,865.92 : x
  2. Step 2: Convert to fraction form
    6,248.81/9,373.22 = 1,865.92/x
  3. Step 3: Cross multiply
    6,248.81x = 9,373.22 × 1,865.92
  4. Step 4: Simplify right side
    6,248.81x = 17,489,683.33
  5. Step 5: Solve for x
    x = 17,489,683.33/6,248.81
  6. Step 6: Final answer
    x = 2,798.88

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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.