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Finding the Fourth Proportional to 7,049.87, 9,728.41 and 3,862.53

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Solution

The fourth proportional to 7,049.87, 9,728.41 and 3,862.53 is: 5,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.87 : 9,728.41 = 3,862.53 : x
  2. Step 2: Convert to fraction form
    7,049.87/9,728.41 = 3,862.53/x
  3. Step 3: Cross multiply
    7,049.87x = 9,728.41 × 3,862.53
  4. Step 4: Simplify right side
    7,049.87x = 37,576,275.48
  5. Step 5: Solve for x
    x = 37,576,275.48/7,049.87
  6. Step 6: Final answer
    x = 5,330.07

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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.