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Finding the Fourth Proportional to 6,818.51, 10,231.71 and 2,869.46

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Solution

The fourth proportional to 6,818.51, 10,231.71 and 2,869.46 is: 4,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.51 : 10,231.71 = 2,869.46 : x
  2. Step 2: Convert to fraction form
    6,818.51/10,231.71 = 2,869.46/x
  3. Step 3: Cross multiply
    6,818.51x = 10,231.71 × 2,869.46
  4. Step 4: Simplify right side
    6,818.51x = 29,359,482.58
  5. Step 5: Solve for x
    x = 29,359,482.58/6,818.51
  6. Step 6: Final answer
    x = 4,305.85

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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.