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Finding the Fourth Proportional to 12,101.10, 18,151.65 and 7,168.20

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Solution

The fourth proportional to 12,101.10, 18,151.65 and 7,168.20 is: 10,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.10 : 18,151.65 = 7,168.20 : x
  2. Step 2: Convert to fraction form
    12,101.10/18,151.65 = 7,168.20/x
  3. Step 3: Cross multiply
    12,101.10x = 18,151.65 × 7,168.20
  4. Step 4: Simplify right side
    12,101.10x = 130,114,657.53
  5. Step 5: Solve for x
    x = 130,114,657.53/12,101.10
  6. Step 6: Final answer
    x = 10,752.30

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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.