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Finding the Fourth Proportional to 6,987.60, 10,472.09 and 2,600.64

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Solution

The fourth proportional to 6,987.60, 10,472.09 and 2,600.64 is: 3,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.60 : 10,472.09 = 2,600.64 : x
  2. Step 2: Convert to fraction form
    6,987.60/10,472.09 = 2,600.64/x
  3. Step 3: Cross multiply
    6,987.60x = 10,472.09 × 2,600.64
  4. Step 4: Simplify right side
    6,987.60x = 27,234,123.13
  5. Step 5: Solve for x
    x = 27,234,123.13/6,987.60
  6. Step 6: Final answer
    x = 3,897.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.