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Finding the Fourth Proportional to 24,726.56, 37,083.12 and 7,191.84

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Solution

The fourth proportional to 24,726.56, 37,083.12 and 7,191.84 is: 10,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726.56 : 37,083.12 = 7,191.84 : x
  2. Step 2: Convert to fraction form
    24,726.56/37,083.12 = 7,191.84/x
  3. Step 3: Cross multiply
    24,726.56x = 37,083.12 × 7,191.84
  4. Step 4: Simplify right side
    24,726.56x = 266,695,865.74
  5. Step 5: Solve for x
    x = 266,695,865.74/24,726.56
  6. Step 6: Final answer
    x = 10,785.81

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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.