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Finding the Fourth Proportional to 13,102.59, 18,082.95 and 7,438.87

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Solution

The fourth proportional to 13,102.59, 18,082.95 and 7,438.87 is: 10,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.59 : 18,082.95 = 7,438.87 : x
  2. Step 2: Convert to fraction form
    13,102.59/18,082.95 = 7,438.87/x
  3. Step 3: Cross multiply
    13,102.59x = 18,082.95 × 7,438.87
  4. Step 4: Simplify right side
    13,102.59x = 134,516,708.97
  5. Step 5: Solve for x
    x = 134,516,708.97/13,102.59
  6. Step 6: Final answer
    x = 10,266.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.