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Finding the Fourth Proportional to 8,097.03, 12,146.16 and 2,253.63

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Solution

The fourth proportional to 8,097.03, 12,146.16 and 2,253.63 is: 3,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.03 : 12,146.16 = 2,253.63 : x
  2. Step 2: Convert to fraction form
    8,097.03/12,146.16 = 2,253.63/x
  3. Step 3: Cross multiply
    8,097.03x = 12,146.16 × 2,253.63
  4. Step 4: Simplify right side
    8,097.03x = 27,372,950.56
  5. Step 5: Solve for x
    x = 27,372,950.56/8,097.03
  6. Step 6: Final answer
    x = 3,380.62

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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.