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Finding the Fourth Proportional to 6,746.38, 9,313.86 and 4,512.04

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Solution

The fourth proportional to 6,746.38, 9,313.86 and 4,512.04 is: 6,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.38 : 9,313.86 = 4,512.04 : x
  2. Step 2: Convert to fraction form
    6,746.38/9,313.86 = 4,512.04/x
  3. Step 3: Cross multiply
    6,746.38x = 9,313.86 × 4,512.04
  4. Step 4: Simplify right side
    6,746.38x = 42,024,508.87
  5. Step 5: Solve for x
    x = 42,024,508.87/6,746.38
  6. Step 6: Final answer
    x = 6,229.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.