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Finding the Fourth Proportional to 7,148.27, 9,869.22 and 5,825.14

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Solution

The fourth proportional to 7,148.27, 9,869.22 and 5,825.14 is: 8,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.27 : 9,869.22 = 5,825.14 : x
  2. Step 2: Convert to fraction form
    7,148.27/9,869.22 = 5,825.14/x
  3. Step 3: Cross multiply
    7,148.27x = 9,869.22 × 5,825.14
  4. Step 4: Simplify right side
    7,148.27x = 57,489,563.52
  5. Step 5: Solve for x
    x = 57,489,563.52/7,148.27
  6. Step 6: Final answer
    x = 8,042.44

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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.