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Finding the Fourth Proportional to 7,137.22, 9,849.32 and 3,993.40

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Solution

The fourth proportional to 7,137.22, 9,849.32 and 3,993.40 is: 5,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.22 : 9,849.32 = 3,993.40 : x
  2. Step 2: Convert to fraction form
    7,137.22/9,849.32 = 3,993.40/x
  3. Step 3: Cross multiply
    7,137.22x = 9,849.32 × 3,993.40
  4. Step 4: Simplify right side
    7,137.22x = 39,332,274.49
  5. Step 5: Solve for x
    x = 39,332,274.49/7,137.22
  6. Step 6: Final answer
    x = 5,510.87

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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.