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Finding the Fourth Proportional to 11,875.68, 17,725.80 and 10,474.88

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Solution

The fourth proportional to 11,875.68, 17,725.80 and 10,474.88 is: 15,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.68 : 17,725.80 = 10,474.88 : x
  2. Step 2: Convert to fraction form
    11,875.68/17,725.80 = 10,474.88/x
  3. Step 3: Cross multiply
    11,875.68x = 17,725.80 × 10,474.88
  4. Step 4: Simplify right side
    11,875.68x = 185,675,627.90
  5. Step 5: Solve for x
    x = 185,675,627.90/11,875.68
  6. Step 6: Final answer
    x = 15,634.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.