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Finding the Fourth Proportional to 7,169.49, 9,884.52 and 5,180.52

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Solution

The fourth proportional to 7,169.49, 9,884.52 and 5,180.52 is: 7,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.49 : 9,884.52 = 5,180.52 : x
  2. Step 2: Convert to fraction form
    7,169.49/9,884.52 = 5,180.52/x
  3. Step 3: Cross multiply
    7,169.49x = 9,884.52 × 5,180.52
  4. Step 4: Simplify right side
    7,169.49x = 51,206,953.55
  5. Step 5: Solve for x
    x = 51,206,953.55/7,169.49
  6. Step 6: Final answer
    x = 7,142.34

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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.