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Finding the Fourth Proportional to 7,758.58, 11,550.13 and 7,712.46

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Solution

The fourth proportional to 7,758.58, 11,550.13 and 7,712.46 is: 11,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.58 : 11,550.13 = 7,712.46 : x
  2. Step 2: Convert to fraction form
    7,758.58/11,550.13 = 7,712.46/x
  3. Step 3: Cross multiply
    7,758.58x = 11,550.13 × 7,712.46
  4. Step 4: Simplify right side
    7,758.58x = 89,079,819.31
  5. Step 5: Solve for x
    x = 89,079,819.31/7,758.58
  6. Step 6: Final answer
    x = 11,481.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.