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Finding the Fourth Proportional to 27,817.92, 41,726.91 and 7,041.42

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Solution

The fourth proportional to 27,817.92, 41,726.91 and 7,041.42 is: 10,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.92 : 41,726.91 = 7,041.42 : x
  2. Step 2: Convert to fraction form
    27,817.92/41,726.91 = 7,041.42/x
  3. Step 3: Cross multiply
    27,817.92x = 41,726.91 × 7,041.42
  4. Step 4: Simplify right side
    27,817.92x = 293,816,698.61
  5. Step 5: Solve for x
    x = 293,816,698.61/27,817.92
  6. Step 6: Final answer
    x = 10,562.14

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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.