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Finding the Fourth Proportional to 12,310.88, 18,447.36 and 8,357

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Solution

The fourth proportional to 12,310.88, 18,447.36 and 8,357 is: 12,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.88 : 18,447.36 = 8,357 : x
  2. Step 2: Convert to fraction form
    12,310.88/18,447.36 = 8,357/x
  3. Step 3: Cross multiply
    12,310.88x = 18,447.36 × 8,357
  4. Step 4: Simplify right side
    12,310.88x = 154,164,587.52
  5. Step 5: Solve for x
    x = 154,164,587.52/12,310.88
  6. Step 6: Final answer
    x = 12,522.63

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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.