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Finding the Fourth Proportional to 12,757.19, 17,602.19 and 7,449.60

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Solution

The fourth proportional to 12,757.19, 17,602.19 and 7,449.60 is: 10,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.19 : 17,602.19 = 7,449.60 : x
  2. Step 2: Convert to fraction form
    12,757.19/17,602.19 = 7,449.60/x
  3. Step 3: Cross multiply
    12,757.19x = 17,602.19 × 7,449.60
  4. Step 4: Simplify right side
    12,757.19x = 131,129,274.62
  5. Step 5: Solve for x
    x = 131,129,274.62/12,757.19
  6. Step 6: Final answer
    x = 10,278.85

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Half scale
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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.