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Finding the Fourth Proportional to 13,492.71, 20,233.13 and 6,096.87

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Solution

The fourth proportional to 13,492.71, 20,233.13 and 6,096.87 is: 9,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.71 : 20,233.13 = 6,096.87 : x
  2. Step 2: Convert to fraction form
    13,492.71/20,233.13 = 6,096.87/x
  3. Step 3: Cross multiply
    13,492.71x = 20,233.13 × 6,096.87
  4. Step 4: Simplify right side
    13,492.71x = 123,358,732.82
  5. Step 5: Solve for x
    x = 123,358,732.82/13,492.71
  6. Step 6: Final answer
    x = 9,142.62

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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.