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Finding the Fourth Proportional to 8,159.24, 12,242.70 and 8,028.20

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Solution

The fourth proportional to 8,159.24, 12,242.70 and 8,028.20 is: 12,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.24 : 12,242.70 = 8,028.20 : x
  2. Step 2: Convert to fraction form
    8,159.24/12,242.70 = 8,028.20/x
  3. Step 3: Cross multiply
    8,159.24x = 12,242.70 × 8,028.20
  4. Step 4: Simplify right side
    8,159.24x = 98,286,844.14
  5. Step 5: Solve for x
    x = 98,286,844.14/8,159.24
  6. Step 6: Final answer
    x = 12,046.08

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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.