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Finding the Fourth Proportional to 8,297.74, 11,449.92 and 4,712.68

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Solution

The fourth proportional to 8,297.74, 11,449.92 and 4,712.68 is: 6,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.74 : 11,449.92 = 4,712.68 : x
  2. Step 2: Convert to fraction form
    8,297.74/11,449.92 = 4,712.68/x
  3. Step 3: Cross multiply
    8,297.74x = 11,449.92 × 4,712.68
  4. Step 4: Simplify right side
    8,297.74x = 53,959,808.99
  5. Step 5: Solve for x
    x = 53,959,808.99/8,297.74
  6. Step 6: Final answer
    x = 6,502.95

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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.