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Finding the Fourth Proportional to 7,026.24, 9,696.24 and 3,882.48

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Solution

The fourth proportional to 7,026.24, 9,696.24 and 3,882.48 is: 5,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.24 : 9,696.24 = 3,882.48 : x
  2. Step 2: Convert to fraction form
    7,026.24/9,696.24 = 3,882.48/x
  3. Step 3: Cross multiply
    7,026.24x = 9,696.24 × 3,882.48
  4. Step 4: Simplify right side
    7,026.24x = 37,645,457.88
  5. Step 5: Solve for x
    x = 37,645,457.88/7,026.24
  6. Step 6: Final answer
    x = 5,357.84

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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.