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Finding the Fourth Proportional to 6,667.38, 9,204.84 and 5,929.20

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Solution

The fourth proportional to 6,667.38, 9,204.84 and 5,929.20 is: 8,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.38 : 9,204.84 = 5,929.20 : x
  2. Step 2: Convert to fraction form
    6,667.38/9,204.84 = 5,929.20/x
  3. Step 3: Cross multiply
    6,667.38x = 9,204.84 × 5,929.20
  4. Step 4: Simplify right side
    6,667.38x = 54,577,337.33
  5. Step 5: Solve for x
    x = 54,577,337.33/6,667.38
  6. Step 6: Final answer
    x = 8,185.72

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Half scale
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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.