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Finding the Fourth Proportional to 6,459, 9,686.16 and 2,298.36

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Solution

The fourth proportional to 6,459, 9,686.16 and 2,298.36 is: 3,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459 : 9,686.16 = 2,298.36 : x
  2. Step 2: Convert to fraction form
    6,459/9,686.16 = 2,298.36/x
  3. Step 3: Cross multiply
    6,459x = 9,686.16 × 2,298.36
  4. Step 4: Simplify right side
    6,459x = 22,262,282.70
  5. Step 5: Solve for x
    x = 22,262,282.70/6,459
  6. Step 6: Final answer
    x = 3,446.71

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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.