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Finding the Fourth Proportional to 10,705.90, 14,773.71 and 6,229.78

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Solution

The fourth proportional to 10,705.90, 14,773.71 and 6,229.78 is: 8,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.90 : 14,773.71 = 6,229.78 : x
  2. Step 2: Convert to fraction form
    10,705.90/14,773.71 = 6,229.78/x
  3. Step 3: Cross multiply
    10,705.90x = 14,773.71 × 6,229.78
  4. Step 4: Simplify right side
    10,705.90x = 92,036,963.08
  5. Step 5: Solve for x
    x = 92,036,963.08/10,705.90
  6. Step 6: Final answer
    x = 8,596.85

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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.