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Finding the Fourth Proportional to 13,876.77, 19,149.96 and 7,589.16

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Solution

The fourth proportional to 13,876.77, 19,149.96 and 7,589.16 is: 10,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.77 : 19,149.96 = 7,589.16 : x
  2. Step 2: Convert to fraction form
    13,876.77/19,149.96 = 7,589.16/x
  3. Step 3: Cross multiply
    13,876.77x = 19,149.96 × 7,589.16
  4. Step 4: Simplify right side
    13,876.77x = 145,332,110.43
  5. Step 5: Solve for x
    x = 145,332,110.43/13,876.77
  6. Step 6: Final answer
    x = 10,473.05

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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.