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Finding the Fourth Proportional to 6,885.12, 10,254.80 and 6,851.56

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Solution

The fourth proportional to 6,885.12, 10,254.80 and 6,851.56 is: 10,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.12 : 10,254.80 = 6,851.56 : x
  2. Step 2: Convert to fraction form
    6,885.12/10,254.80 = 6,851.56/x
  3. Step 3: Cross multiply
    6,885.12x = 10,254.80 × 6,851.56
  4. Step 4: Simplify right side
    6,885.12x = 70,261,377.49
  5. Step 5: Solve for x
    x = 70,261,377.49/6,885.12
  6. Step 6: Final answer
    x = 10,204.82

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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.