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Finding the Fourth Proportional to 36,853.14, 55,280.04 and 9,151.14

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Solution

The fourth proportional to 36,853.14, 55,280.04 and 9,151.14 is: 13,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,853.14 : 55,280.04 = 9,151.14 : x
  2. Step 2: Convert to fraction form
    36,853.14/55,280.04 = 9,151.14/x
  3. Step 3: Cross multiply
    36,853.14x = 55,280.04 × 9,151.14
  4. Step 4: Simplify right side
    36,853.14x = 505,875,385.25
  5. Step 5: Solve for x
    x = 505,875,385.25/36,853.14
  6. Step 6: Final answer
    x = 13,726.79

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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.