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Finding the Fourth Proportional to 8,404.82, 11,597.82 and 4,869.17

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Solution

The fourth proportional to 8,404.82, 11,597.82 and 4,869.17 is: 6,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.82 : 11,597.82 = 4,869.17 : x
  2. Step 2: Convert to fraction form
    8,404.82/11,597.82 = 4,869.17/x
  3. Step 3: Cross multiply
    8,404.82x = 11,597.82 × 4,869.17
  4. Step 4: Simplify right side
    8,404.82x = 56,471,757.21
  5. Step 5: Solve for x
    x = 56,471,757.21/8,404.82
  6. Step 6: Final answer
    x = 6,718.97

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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.