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Finding the Fourth Proportional to 11,646.57, 17,469.90 and 2,881.46

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Solution

The fourth proportional to 11,646.57, 17,469.90 and 2,881.46 is: 4,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.57 : 17,469.90 = 2,881.46 : x
  2. Step 2: Convert to fraction form
    11,646.57/17,469.90 = 2,881.46/x
  3. Step 3: Cross multiply
    11,646.57x = 17,469.90 × 2,881.46
  4. Step 4: Simplify right side
    11,646.57x = 50,338,730.70
  5. Step 5: Solve for x
    x = 50,338,730.70/11,646.57
  6. Step 6: Final answer
    x = 4,322.19

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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.