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Finding the Fourth Proportional to 6,854.67, 10,281.96 and 1,660.50

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Solution

The fourth proportional to 6,854.67, 10,281.96 and 1,660.50 is: 2,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.67 : 10,281.96 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    6,854.67/10,281.96 = 1,660.50/x
  3. Step 3: Cross multiply
    6,854.67x = 10,281.96 × 1,660.50
  4. Step 4: Simplify right side
    6,854.67x = 17,073,194.58
  5. Step 5: Solve for x
    x = 17,073,194.58/6,854.67
  6. Step 6: Final answer
    x = 2,490.74

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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.