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Finding the Fourth Proportional to 6,341.84, 9,516.84 and 3,422.16

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Solution

The fourth proportional to 6,341.84, 9,516.84 and 3,422.16 is: 5,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.84 : 9,516.84 = 3,422.16 : x
  2. Step 2: Convert to fraction form
    6,341.84/9,516.84 = 3,422.16/x
  3. Step 3: Cross multiply
    6,341.84x = 9,516.84 × 3,422.16
  4. Step 4: Simplify right side
    6,341.84x = 32,568,149.17
  5. Step 5: Solve for x
    x = 32,568,149.17/6,341.84
  6. Step 6: Final answer
    x = 5,135.44

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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.