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Finding the Fourth Proportional to 12,527.81, 17,287.78 and 7,494.78

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Solution

The fourth proportional to 12,527.81, 17,287.78 and 7,494.78 is: 10,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.81 : 17,287.78 = 7,494.78 : x
  2. Step 2: Convert to fraction form
    12,527.81/17,287.78 = 7,494.78/x
  3. Step 3: Cross multiply
    12,527.81x = 17,287.78 × 7,494.78
  4. Step 4: Simplify right side
    12,527.81x = 129,568,070.69
  5. Step 5: Solve for x
    x = 129,568,070.69/12,527.81
  6. Step 6: Final answer
    x = 10,342.43

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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.