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Finding the Fourth Proportional to 6,853.14, 10,265.31 and 6,775.38

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Solution

The fourth proportional to 6,853.14, 10,265.31 and 6,775.38 is: 10,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.14 : 10,265.31 = 6,775.38 : x
  2. Step 2: Convert to fraction form
    6,853.14/10,265.31 = 6,775.38/x
  3. Step 3: Cross multiply
    6,853.14x = 10,265.31 × 6,775.38
  4. Step 4: Simplify right side
    6,853.14x = 69,551,376.07
  5. Step 5: Solve for x
    x = 69,551,376.07/6,853.14
  6. Step 6: Final answer
    x = 10,148.83

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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.