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Finding the Fourth Proportional to 6,677.38, 9,214.68 and 4,026.25

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Solution

The fourth proportional to 6,677.38, 9,214.68 and 4,026.25 is: 5,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.38 : 9,214.68 = 4,026.25 : x
  2. Step 2: Convert to fraction form
    6,677.38/9,214.68 = 4,026.25/x
  3. Step 3: Cross multiply
    6,677.38x = 9,214.68 × 4,026.25
  4. Step 4: Simplify right side
    6,677.38x = 37,100,582.31
  5. Step 5: Solve for x
    x = 37,100,582.31/6,677.38
  6. Step 6: Final answer
    x = 5,556.16

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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.