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Finding the Fourth Proportional to 18,658.68, 25,748.82 and 10,275

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Solution

The fourth proportional to 18,658.68, 25,748.82 and 10,275 is: 14,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.68 : 25,748.82 = 10,275 : x
  2. Step 2: Convert to fraction form
    18,658.68/25,748.82 = 10,275/x
  3. Step 3: Cross multiply
    18,658.68x = 25,748.82 × 10,275
  4. Step 4: Simplify right side
    18,658.68x = 264,569,125.50
  5. Step 5: Solve for x
    x = 264,569,125.50/18,658.68
  6. Step 6: Final answer
    x = 14,179.41

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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.