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Finding the Fourth Proportional to 6,478.38, 8,939.97 and 3,645.91

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Solution

The fourth proportional to 6,478.38, 8,939.97 and 3,645.91 is: 5,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.38 : 8,939.97 = 3,645.91 : x
  2. Step 2: Convert to fraction form
    6,478.38/8,939.97 = 3,645.91/x
  3. Step 3: Cross multiply
    6,478.38x = 8,939.97 × 3,645.91
  4. Step 4: Simplify right side
    6,478.38x = 32,594,337.20
  5. Step 5: Solve for x
    x = 32,594,337.20/6,478.38
  6. Step 6: Final answer
    x = 5,031.25

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1.5x scale

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.