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Finding the Fourth Proportional to 6,535.44, 9,798.15 and 3,246

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Solution

The fourth proportional to 6,535.44, 9,798.15 and 3,246 is: 4,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.44 : 9,798.15 = 3,246 : x
  2. Step 2: Convert to fraction form
    6,535.44/9,798.15 = 3,246/x
  3. Step 3: Cross multiply
    6,535.44x = 9,798.15 × 3,246
  4. Step 4: Simplify right side
    6,535.44x = 31,804,794.90
  5. Step 5: Solve for x
    x = 31,804,794.90/6,535.44
  6. Step 6: Final answer
    x = 4,866.51

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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.