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Finding the Fourth Proportional to 12,705.96, 17,517.96 and 9,868.53

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Solution

The fourth proportional to 12,705.96, 17,517.96 and 9,868.53 is: 13,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.96 : 17,517.96 = 9,868.53 : x
  2. Step 2: Convert to fraction form
    12,705.96/17,517.96 = 9,868.53/x
  3. Step 3: Cross multiply
    12,705.96x = 17,517.96 × 9,868.53
  4. Step 4: Simplify right side
    12,705.96x = 172,876,513.80
  5. Step 5: Solve for x
    x = 172,876,513.80/12,705.96
  6. Step 6: Final answer
    x = 13,605.94

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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.