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Finding the Fourth Proportional to 8,198.52, 11,314.08 and 4,661.65

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Solution

The fourth proportional to 8,198.52, 11,314.08 and 4,661.65 is: 6,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.52 : 11,314.08 = 4,661.65 : x
  2. Step 2: Convert to fraction form
    8,198.52/11,314.08 = 4,661.65/x
  3. Step 3: Cross multiply
    8,198.52x = 11,314.08 × 4,661.65
  4. Step 4: Simplify right side
    8,198.52x = 52,742,295.17
  5. Step 5: Solve for x
    x = 52,742,295.17/8,198.52
  6. Step 6: Final answer
    x = 6,433.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.