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Finding the Fourth Proportional to 8,298.62, 12,449.10 and 3,104

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Solution

The fourth proportional to 8,298.62, 12,449.10 and 3,104 is: 4,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.62 : 12,449.10 = 3,104 : x
  2. Step 2: Convert to fraction form
    8,298.62/12,449.10 = 3,104/x
  3. Step 3: Cross multiply
    8,298.62x = 12,449.10 × 3,104
  4. Step 4: Simplify right side
    8,298.62x = 38,642,006.40
  5. Step 5: Solve for x
    x = 38,642,006.40/8,298.62
  6. Step 6: Final answer
    x = 4,656.44

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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.