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Finding the Fourth Proportional to 6,532.62, 9,800.28 and 2,150.34

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Solution

The fourth proportional to 6,532.62, 9,800.28 and 2,150.34 is: 3,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.62 : 9,800.28 = 2,150.34 : x
  2. Step 2: Convert to fraction form
    6,532.62/9,800.28 = 2,150.34/x
  3. Step 3: Cross multiply
    6,532.62x = 9,800.28 × 2,150.34
  4. Step 4: Simplify right side
    6,532.62x = 21,073,934.10
  5. Step 5: Solve for x
    x = 21,073,934.10/6,532.62
  6. Step 6: Final answer
    x = 3,225.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.