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Finding the Fourth Proportional to 6,854.70, 10,282.42 and 2,175.08

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Solution

The fourth proportional to 6,854.70, 10,282.42 and 2,175.08 is: 3,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.70 : 10,282.42 = 2,175.08 : x
  2. Step 2: Convert to fraction form
    6,854.70/10,282.42 = 2,175.08/x
  3. Step 3: Cross multiply
    6,854.70x = 10,282.42 × 2,175.08
  4. Step 4: Simplify right side
    6,854.70x = 22,365,037.40
  5. Step 5: Solve for x
    x = 22,365,037.40/6,854.70
  6. Step 6: Final answer
    x = 3,262.73

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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.