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Finding the Fourth Proportional to 6,679.84, 9,214.52 and 5,422.32

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Solution

The fourth proportional to 6,679.84, 9,214.52 and 5,422.32 is: 7,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.84 : 9,214.52 = 5,422.32 : x
  2. Step 2: Convert to fraction form
    6,679.84/9,214.52 = 5,422.32/x
  3. Step 3: Cross multiply
    6,679.84x = 9,214.52 × 5,422.32
  4. Step 4: Simplify right side
    6,679.84x = 49,964,076.09
  5. Step 5: Solve for x
    x = 49,964,076.09/6,679.84
  6. Step 6: Final answer
    x = 7,479.83

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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.