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Finding the Fourth Proportional to 14,685.78, 20,266.02 and 8,397.78

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Solution

The fourth proportional to 14,685.78, 20,266.02 and 8,397.78 is: 11,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.78 : 20,266.02 = 8,397.78 : x
  2. Step 2: Convert to fraction form
    14,685.78/20,266.02 = 8,397.78/x
  3. Step 3: Cross multiply
    14,685.78x = 20,266.02 × 8,397.78
  4. Step 4: Simplify right side
    14,685.78x = 170,189,577.44
  5. Step 5: Solve for x
    x = 170,189,577.44/14,685.78
  6. Step 6: Final answer
    x = 11,588.73

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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.