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Finding the Fourth Proportional to 6,706.43, 10,014.48 and 5,476.25

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Solution

The fourth proportional to 6,706.43, 10,014.48 and 5,476.25 is: 8,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.43 : 10,014.48 = 5,476.25 : x
  2. Step 2: Convert to fraction form
    6,706.43/10,014.48 = 5,476.25/x
  3. Step 3: Cross multiply
    6,706.43x = 10,014.48 × 5,476.25
  4. Step 4: Simplify right side
    6,706.43x = 54,841,725.49
  5. Step 5: Solve for x
    x = 54,841,725.49/6,706.43
  6. Step 6: Final answer
    x = 8,177.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.