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Finding the Fourth Proportional to 12,097.20, 18,146.52 and 4,699.20

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Solution

The fourth proportional to 12,097.20, 18,146.52 and 4,699.20 is: 7,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.20 : 18,146.52 = 4,699.20 : x
  2. Step 2: Convert to fraction form
    12,097.20/18,146.52 = 4,699.20/x
  3. Step 3: Cross multiply
    12,097.20x = 18,146.52 × 4,699.20
  4. Step 4: Simplify right side
    12,097.20x = 85,274,126.78
  5. Step 5: Solve for x
    x = 85,274,126.78/12,097.20
  6. Step 6: Final answer
    x = 7,049.08

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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.