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Finding the Fourth Proportional to 12,274.68, 16,938.90 and 6,685.68

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Solution

The fourth proportional to 12,274.68, 16,938.90 and 6,685.68 is: 9,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.68 : 16,938.90 = 6,685.68 : x
  2. Step 2: Convert to fraction form
    12,274.68/16,938.90 = 6,685.68/x
  3. Step 3: Cross multiply
    12,274.68x = 16,938.90 × 6,685.68
  4. Step 4: Simplify right side
    12,274.68x = 113,248,064.95
  5. Step 5: Solve for x
    x = 113,248,064.95/12,274.68
  6. Step 6: Final answer
    x = 9,226.15

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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.