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Finding the Fourth Proportional to 12,170.84, 18,256.25 and 5,149.02

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Solution

The fourth proportional to 12,170.84, 18,256.25 and 5,149.02 is: 7,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.84 : 18,256.25 = 5,149.02 : x
  2. Step 2: Convert to fraction form
    12,170.84/18,256.25 = 5,149.02/x
  3. Step 3: Cross multiply
    12,170.84x = 18,256.25 × 5,149.02
  4. Step 4: Simplify right side
    12,170.84x = 94,001,770.63
  5. Step 5: Solve for x
    x = 94,001,770.63/12,170.84
  6. Step 6: Final answer
    x = 7,723.53

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Similar ratio
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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.