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Finding the Fourth Proportional to 6,576.96, 9,862.72 and 2,678.72

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Solution

The fourth proportional to 6,576.96, 9,862.72 and 2,678.72 is: 4,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.96 : 9,862.72 = 2,678.72 : x
  2. Step 2: Convert to fraction form
    6,576.96/9,862.72 = 2,678.72/x
  3. Step 3: Cross multiply
    6,576.96x = 9,862.72 × 2,678.72
  4. Step 4: Simplify right side
    6,576.96x = 26,419,465.32
  5. Step 5: Solve for x
    x = 26,419,465.32/6,576.96
  6. Step 6: Final answer
    x = 4,016.97

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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.