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Finding the Fourth Proportional to 9,175.80, 13,763.70 and 8,155.20

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Solution

The fourth proportional to 9,175.80, 13,763.70 and 8,155.20 is: 12,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.80 : 13,763.70 = 8,155.20 : x
  2. Step 2: Convert to fraction form
    9,175.80/13,763.70 = 8,155.20/x
  3. Step 3: Cross multiply
    9,175.80x = 13,763.70 × 8,155.20
  4. Step 4: Simplify right side
    9,175.80x = 112,245,726.24
  5. Step 5: Solve for x
    x = 112,245,726.24/9,175.80
  6. Step 6: Final answer
    x = 12,232.80

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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.