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Finding the Fourth Proportional to 6,822.68, 10,234.28 and 6,726.02

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Solution

The fourth proportional to 6,822.68, 10,234.28 and 6,726.02 is: 10,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.68 : 10,234.28 = 6,726.02 : x
  2. Step 2: Convert to fraction form
    6,822.68/10,234.28 = 6,726.02/x
  3. Step 3: Cross multiply
    6,822.68x = 10,234.28 × 6,726.02
  4. Step 4: Simplify right side
    6,822.68x = 68,835,937.61
  5. Step 5: Solve for x
    x = 68,835,937.61/6,822.68
  6. Step 6: Final answer
    x = 10,089.29

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1.5x scale

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.