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Finding the Fourth Proportional to 6,943.48, 9,576.59 and 6,147.65

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Solution

The fourth proportional to 6,943.48, 9,576.59 and 6,147.65 is: 8,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.48 : 9,576.59 = 6,147.65 : x
  2. Step 2: Convert to fraction form
    6,943.48/9,576.59 = 6,147.65/x
  3. Step 3: Cross multiply
    6,943.48x = 9,576.59 × 6,147.65
  4. Step 4: Simplify right side
    6,943.48x = 58,873,516.72
  5. Step 5: Solve for x
    x = 58,873,516.72/6,943.48
  6. Step 6: Final answer
    x = 8,478.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.