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Finding the Fourth Proportional to 24,064.16, 36,101.39 and 7,198.49

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Solution

The fourth proportional to 24,064.16, 36,101.39 and 7,198.49 is: 10,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,064.16 : 36,101.39 = 7,198.49 : x
  2. Step 2: Convert to fraction form
    24,064.16/36,101.39 = 7,198.49/x
  3. Step 3: Cross multiply
    24,064.16x = 36,101.39 × 7,198.49
  4. Step 4: Simplify right side
    24,064.16x = 259,875,494.90
  5. Step 5: Solve for x
    x = 259,875,494.90/24,064.16
  6. Step 6: Final answer
    x = 10,799.28

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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.