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Finding the Fourth Proportional to 10,126.59, 13,974.03 and 6,349.59

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Solution

The fourth proportional to 10,126.59, 13,974.03 and 6,349.59 is: 8,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.59 : 13,974.03 = 6,349.59 : x
  2. Step 2: Convert to fraction form
    10,126.59/13,974.03 = 6,349.59/x
  3. Step 3: Cross multiply
    10,126.59x = 13,974.03 × 6,349.59
  4. Step 4: Simplify right side
    10,126.59x = 88,729,361.15
  5. Step 5: Solve for x
    x = 88,729,361.15/10,126.59
  6. Step 6: Final answer
    x = 8,762.02

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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.