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Finding the Fourth Proportional to 6,458.04, 9,688 and 2,297.68

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Solution

The fourth proportional to 6,458.04, 9,688 and 2,297.68 is: 3,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.04 : 9,688 = 2,297.68 : x
  2. Step 2: Convert to fraction form
    6,458.04/9,688 = 2,297.68/x
  3. Step 3: Cross multiply
    6,458.04x = 9,688 × 2,297.68
  4. Step 4: Simplify right side
    6,458.04x = 22,259,923.84
  5. Step 5: Solve for x
    x = 22,259,923.84/6,458.04
  6. Step 6: Final answer
    x = 3,446.85

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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.