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Finding the Fourth Proportional to 7,049.34, 9,728.19 and 3,862.56

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Solution

The fourth proportional to 7,049.34, 9,728.19 and 3,862.56 is: 5,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.34 : 9,728.19 = 3,862.56 : x
  2. Step 2: Convert to fraction form
    7,049.34/9,728.19 = 3,862.56/x
  3. Step 3: Cross multiply
    7,049.34x = 9,728.19 × 3,862.56
  4. Step 4: Simplify right side
    7,049.34x = 37,575,717.57
  5. Step 5: Solve for x
    x = 37,575,717.57/7,049.34
  6. Step 6: Final answer
    x = 5,330.39

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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.