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Finding the Fourth Proportional to 12,751.64, 17,596.92 and 7,086.25

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Solution

The fourth proportional to 12,751.64, 17,596.92 and 7,086.25 is: 9,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.64 : 17,596.92 = 7,086.25 : x
  2. Step 2: Convert to fraction form
    12,751.64/17,596.92 = 7,086.25/x
  3. Step 3: Cross multiply
    12,751.64x = 17,596.92 × 7,086.25
  4. Step 4: Simplify right side
    12,751.64x = 124,696,113.80
  5. Step 5: Solve for x
    x = 124,696,113.80/12,751.64
  6. Step 6: Final answer
    x = 9,778.83

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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.