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Finding the Fourth Proportional to 7,026.76, 9,696.50 and 3,882.76

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Solution

The fourth proportional to 7,026.76, 9,696.50 and 3,882.76 is: 5,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.76 : 9,696.50 = 3,882.76 : x
  2. Step 2: Convert to fraction form
    7,026.76/9,696.50 = 3,882.76/x
  3. Step 3: Cross multiply
    7,026.76x = 9,696.50 × 3,882.76
  4. Step 4: Simplify right side
    7,026.76x = 37,649,182.34
  5. Step 5: Solve for x
    x = 37,649,182.34/7,026.76
  6. Step 6: Final answer
    x = 5,357.97

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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.