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Finding the Fourth Proportional to 6,529.52, 9,794.46 and 1,599.17

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Solution

The fourth proportional to 6,529.52, 9,794.46 and 1,599.17 is: 2,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.52 : 9,794.46 = 1,599.17 : x
  2. Step 2: Convert to fraction form
    6,529.52/9,794.46 = 1,599.17/x
  3. Step 3: Cross multiply
    6,529.52x = 9,794.46 × 1,599.17
  4. Step 4: Simplify right side
    6,529.52x = 15,662,957.63
  5. Step 5: Solve for x
    x = 15,662,957.63/6,529.52
  6. Step 6: Final answer
    x = 2,398.79

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