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Finding the Fourth Proportional to 6,560.76, 9,825.17 and 4,338.21

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Solution

The fourth proportional to 6,560.76, 9,825.17 and 4,338.21 is: 6,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.76 : 9,825.17 = 4,338.21 : x
  2. Step 2: Convert to fraction form
    6,560.76/9,825.17 = 4,338.21/x
  3. Step 3: Cross multiply
    6,560.76x = 9,825.17 × 4,338.21
  4. Step 4: Simplify right side
    6,560.76x = 42,623,629.05
  5. Step 5: Solve for x
    x = 42,623,629.05/6,560.76
  6. Step 6: Final answer
    x = 6,496.75

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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.