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Finding the Fourth Proportional to 12,096.68, 18,140.42 and 7,167.68

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Solution

The fourth proportional to 12,096.68, 18,140.42 and 7,167.68 is: 10,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.68 : 18,140.42 = 7,167.68 : x
  2. Step 2: Convert to fraction form
    12,096.68/18,140.42 = 7,167.68/x
  3. Step 3: Cross multiply
    12,096.68x = 18,140.42 × 7,167.68
  4. Step 4: Simplify right side
    12,096.68x = 130,024,725.63
  5. Step 5: Solve for x
    x = 130,024,725.63/12,096.68
  6. Step 6: Final answer
    x = 10,748.79

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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.