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Finding the Fourth Proportional to 7,149.27, 9,865.81 and 4,005.66

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Solution

The fourth proportional to 7,149.27, 9,865.81 and 4,005.66 is: 5,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.27 : 9,865.81 = 4,005.66 : x
  2. Step 2: Convert to fraction form
    7,149.27/9,865.81 = 4,005.66/x
  3. Step 3: Cross multiply
    7,149.27x = 9,865.81 × 4,005.66
  4. Step 4: Simplify right side
    7,149.27x = 39,519,080.48
  5. Step 5: Solve for x
    x = 39,519,080.48/7,149.27
  6. Step 6: Final answer
    x = 5,527.71

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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.