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Finding the Fourth Proportional to 7,049.40, 9,728.10 and 3,862.71

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Solution

The fourth proportional to 7,049.40, 9,728.10 and 3,862.71 is: 5,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.40 : 9,728.10 = 3,862.71 : x
  2. Step 2: Convert to fraction form
    7,049.40/9,728.10 = 3,862.71/x
  3. Step 3: Cross multiply
    7,049.40x = 9,728.10 × 3,862.71
  4. Step 4: Simplify right side
    7,049.40x = 37,576,829.15
  5. Step 5: Solve for x
    x = 37,576,829.15/7,049.40
  6. Step 6: Final answer
    x = 5,330.50

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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.