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Finding the Fourth Proportional to 10,038.62, 15,079.80 and 8,194.25

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Solution

The fourth proportional to 10,038.62, 15,079.80 and 8,194.25 is: 12,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.62 : 15,079.80 = 8,194.25 : x
  2. Step 2: Convert to fraction form
    10,038.62/15,079.80 = 8,194.25/x
  3. Step 3: Cross multiply
    10,038.62x = 15,079.80 × 8,194.25
  4. Step 4: Simplify right side
    10,038.62x = 123,567,575.75
  5. Step 5: Solve for x
    x = 123,567,575.75/10,038.62
  6. Step 6: Final answer
    x = 12,309.23

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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.