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Finding the Fourth Proportional to 6,248.54, 9,374.33 and 1,865.97

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Solution

The fourth proportional to 6,248.54, 9,374.33 and 1,865.97 is: 2,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,248.54 : 9,374.33 = 1,865.97 : x
  2. Step 2: Convert to fraction form
    6,248.54/9,374.33 = 1,865.97/x
  3. Step 3: Cross multiply
    6,248.54x = 9,374.33 × 1,865.97
  4. Step 4: Simplify right side
    6,248.54x = 17,492,223.22
  5. Step 5: Solve for x
    x = 17,492,223.22/6,248.54
  6. Step 6: Final answer
    x = 2,799.41

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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.