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Finding the Fourth Proportional to 6,322, 9,478.96 and 2,626.80

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Solution

The fourth proportional to 6,322, 9,478.96 and 2,626.80 is: 3,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322 : 9,478.96 = 2,626.80 : x
  2. Step 2: Convert to fraction form
    6,322/9,478.96 = 2,626.80/x
  3. Step 3: Cross multiply
    6,322x = 9,478.96 × 2,626.80
  4. Step 4: Simplify right side
    6,322x = 24,899,332.13
  5. Step 5: Solve for x
    x = 24,899,332.13/6,322
  6. Step 6: Final answer
    x = 3,938.52

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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.