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Finding the Fourth Proportional to 13,874.68, 19,146.78 and 7,586.92

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Solution

The fourth proportional to 13,874.68, 19,146.78 and 7,586.92 is: 10,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.68 : 19,146.78 = 7,586.92 : x
  2. Step 2: Convert to fraction form
    13,874.68/19,146.78 = 7,586.92/x
  3. Step 3: Cross multiply
    13,874.68x = 19,146.78 × 7,586.92
  4. Step 4: Simplify right side
    13,874.68x = 145,265,088.12
  5. Step 5: Solve for x
    x = 145,265,088.12/13,874.68
  6. Step 6: Final answer
    x = 10,469.80

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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.