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Finding the Fourth Proportional to 9,633.76, 14,454.81 and 3,398.23

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Solution

The fourth proportional to 9,633.76, 14,454.81 and 3,398.23 is: 5,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.76 : 14,454.81 = 3,398.23 : x
  2. Step 2: Convert to fraction form
    9,633.76/14,454.81 = 3,398.23/x
  3. Step 3: Cross multiply
    9,633.76x = 14,454.81 × 3,398.23
  4. Step 4: Simplify right side
    9,633.76x = 49,120,768.99
  5. Step 5: Solve for x
    x = 49,120,768.99/9,633.76
  6. Step 6: Final answer
    x = 5,098.82

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1.5x scale

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.