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Finding the Fourth Proportional to 7,026.71, 9,696.84 and 3,882.88

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Solution

The fourth proportional to 7,026.71, 9,696.84 and 3,882.88 is: 5,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.71 : 9,696.84 = 3,882.88 : x
  2. Step 2: Convert to fraction form
    7,026.71/9,696.84 = 3,882.88/x
  3. Step 3: Cross multiply
    7,026.71x = 9,696.84 × 3,882.88
  4. Step 4: Simplify right side
    7,026.71x = 37,651,666.10
  5. Step 5: Solve for x
    x = 37,651,666.10/7,026.71
  6. Step 6: Final answer
    x = 5,358.36

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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.