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Finding the Fourth Proportional to 6,824.40, 10,217.40 and 6,133.20

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Solution

The fourth proportional to 6,824.40, 10,217.40 and 6,133.20 is: 9,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.40 : 10,217.40 = 6,133.20 : x
  2. Step 2: Convert to fraction form
    6,824.40/10,217.40 = 6,133.20/x
  3. Step 3: Cross multiply
    6,824.40x = 10,217.40 × 6,133.20
  4. Step 4: Simplify right side
    6,824.40x = 62,665,357.68
  5. Step 5: Solve for x
    x = 62,665,357.68/6,824.40
  6. Step 6: Final answer
    x = 9,182.54

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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.