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Finding the Fourth Proportional to 6,482.28, 9,724.66 and 4,489.38

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Solution

The fourth proportional to 6,482.28, 9,724.66 and 4,489.38 is: 6,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.28 : 9,724.66 = 4,489.38 : x
  2. Step 2: Convert to fraction form
    6,482.28/9,724.66 = 4,489.38/x
  3. Step 3: Cross multiply
    6,482.28x = 9,724.66 × 4,489.38
  4. Step 4: Simplify right side
    6,482.28x = 43,657,694.11
  5. Step 5: Solve for x
    x = 43,657,694.11/6,482.28
  6. Step 6: Final answer
    x = 6,734.93

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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.