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Finding the Fourth Proportional to 8,122.60, 11,175.78 and 7,604.20

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Solution

The fourth proportional to 8,122.60, 11,175.78 and 7,604.20 is: 10,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.60 : 11,175.78 = 7,604.20 : x
  2. Step 2: Convert to fraction form
    8,122.60/11,175.78 = 7,604.20/x
  3. Step 3: Cross multiply
    8,122.60x = 11,175.78 × 7,604.20
  4. Step 4: Simplify right side
    8,122.60x = 84,982,866.28
  5. Step 5: Solve for x
    x = 84,982,866.28/8,122.60
  6. Step 6: Final answer
    x = 10,462.52

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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.