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Finding the Fourth Proportional to 7,768.57, 11,649.24 and 2,502.59

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Solution

The fourth proportional to 7,768.57, 11,649.24 and 2,502.59 is: 3,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.57 : 11,649.24 = 2,502.59 : x
  2. Step 2: Convert to fraction form
    7,768.57/11,649.24 = 2,502.59/x
  3. Step 3: Cross multiply
    7,768.57x = 11,649.24 × 2,502.59
  4. Step 4: Simplify right side
    7,768.57x = 29,153,236.15
  5. Step 5: Solve for x
    x = 29,153,236.15/7,768.57
  6. Step 6: Final answer
    x = 3,752.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.