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Finding the Fourth Proportional to 10,249.20, 15,373.80 and 5,065.20

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Solution

The fourth proportional to 10,249.20, 15,373.80 and 5,065.20 is: 7,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.20 : 15,373.80 = 5,065.20 : x
  2. Step 2: Convert to fraction form
    10,249.20/15,373.80 = 5,065.20/x
  3. Step 3: Cross multiply
    10,249.20x = 15,373.80 × 5,065.20
  4. Step 4: Simplify right side
    10,249.20x = 77,871,371.76
  5. Step 5: Solve for x
    x = 77,871,371.76/10,249.20
  6. Step 6: Final answer
    x = 7,597.80

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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.