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Finding the Fourth Proportional to 6,592.62, 9,100.12 and 4,076.66

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Solution

The fourth proportional to 6,592.62, 9,100.12 and 4,076.66 is: 5,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.62 : 9,100.12 = 4,076.66 : x
  2. Step 2: Convert to fraction form
    6,592.62/9,100.12 = 4,076.66/x
  3. Step 3: Cross multiply
    6,592.62x = 9,100.12 × 4,076.66
  4. Step 4: Simplify right side
    6,592.62x = 37,098,095.20
  5. Step 5: Solve for x
    x = 37,098,095.20/6,592.62
  6. Step 6: Final answer
    x = 5,627.22

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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.