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Finding the Fourth Proportional to 25,476.80, 38,214.28 and 6,757

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Solution

The fourth proportional to 25,476.80, 38,214.28 and 6,757 is: 10,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476.80 : 38,214.28 = 6,757 : x
  2. Step 2: Convert to fraction form
    25,476.80/38,214.28 = 6,757/x
  3. Step 3: Cross multiply
    25,476.80x = 38,214.28 × 6,757
  4. Step 4: Simplify right side
    25,476.80x = 258,213,889.96
  5. Step 5: Solve for x
    x = 258,213,889.96/25,476.80
  6. Step 6: Final answer
    x = 10,135.26

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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.