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Finding the Fourth Proportional to 6,854.52, 10,270.98 and 5,003.40

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Solution

The fourth proportional to 6,854.52, 10,270.98 and 5,003.40 is: 7,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.52 : 10,270.98 = 5,003.40 : x
  2. Step 2: Convert to fraction form
    6,854.52/10,270.98 = 5,003.40/x
  3. Step 3: Cross multiply
    6,854.52x = 10,270.98 × 5,003.40
  4. Step 4: Simplify right side
    6,854.52x = 51,389,821.33
  5. Step 5: Solve for x
    x = 51,389,821.33/6,854.52
  6. Step 6: Final answer
    x = 7,497.22

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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.