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Finding the Fourth Proportional to 6,959.28, 9,546.61 and 6,582.66

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Solution

The fourth proportional to 6,959.28, 9,546.61 and 6,582.66 is: 9,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.28 : 9,546.61 = 6,582.66 : x
  2. Step 2: Convert to fraction form
    6,959.28/9,546.61 = 6,582.66/x
  3. Step 3: Cross multiply
    6,959.28x = 9,546.61 × 6,582.66
  4. Step 4: Simplify right side
    6,959.28x = 62,842,087.78
  5. Step 5: Solve for x
    x = 62,842,087.78/6,959.28
  6. Step 6: Final answer
    x = 9,029.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.