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Finding the Fourth Proportional to 7,008.26, 9,672.80 and 4,026.14

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Solution

The fourth proportional to 7,008.26, 9,672.80 and 4,026.14 is: 5,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.26 : 9,672.80 = 4,026.14 : x
  2. Step 2: Convert to fraction form
    7,008.26/9,672.80 = 4,026.14/x
  3. Step 3: Cross multiply
    7,008.26x = 9,672.80 × 4,026.14
  4. Step 4: Simplify right side
    7,008.26x = 38,944,046.99
  5. Step 5: Solve for x
    x = 38,944,046.99/7,008.26
  6. Step 6: Final answer
    x = 5,556.88

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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.