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Finding the Fourth Proportional to 7,149.41, 9,859.28 and 5,024.27

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Solution

The fourth proportional to 7,149.41, 9,859.28 and 5,024.27 is: 6,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.41 : 9,859.28 = 5,024.27 : x
  2. Step 2: Convert to fraction form
    7,149.41/9,859.28 = 5,024.27/x
  3. Step 3: Cross multiply
    7,149.41x = 9,859.28 × 5,024.27
  4. Step 4: Simplify right side
    7,149.41x = 49,535,684.73
  5. Step 5: Solve for x
    x = 49,535,684.73/7,149.41
  6. Step 6: Final answer
    x = 6,928.64

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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.