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Finding the Fourth Proportional to 6,496.74, 9,732.96 and 3,530.52

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Solution

The fourth proportional to 6,496.74, 9,732.96 and 3,530.52 is: 5,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.74 : 9,732.96 = 3,530.52 : x
  2. Step 2: Convert to fraction form
    6,496.74/9,732.96 = 3,530.52/x
  3. Step 3: Cross multiply
    6,496.74x = 9,732.96 × 3,530.52
  4. Step 4: Simplify right side
    6,496.74x = 34,362,409.94
  5. Step 5: Solve for x
    x = 34,362,409.94/6,496.74
  6. Step 6: Final answer
    x = 5,289.18

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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.