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Finding the Fourth Proportional to 6,258, 9,387.12 and 2,364.24

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Solution

The fourth proportional to 6,258, 9,387.12 and 2,364.24 is: 3,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258 : 9,387.12 = 2,364.24 : x
  2. Step 2: Convert to fraction form
    6,258/9,387.12 = 2,364.24/x
  3. Step 3: Cross multiply
    6,258x = 9,387.12 × 2,364.24
  4. Step 4: Simplify right side
    6,258x = 22,193,404.59
  5. Step 5: Solve for x
    x = 22,193,404.59/6,258
  6. Step 6: Final answer
    x = 3,546.41

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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.