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Finding the Fourth Proportional to 12,646.75, 17,453.48 and 6,982.59

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Solution

The fourth proportional to 12,646.75, 17,453.48 and 6,982.59 is: 9,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.75 : 17,453.48 = 6,982.59 : x
  2. Step 2: Convert to fraction form
    12,646.75/17,453.48 = 6,982.59/x
  3. Step 3: Cross multiply
    12,646.75x = 17,453.48 × 6,982.59
  4. Step 4: Simplify right side
    12,646.75x = 121,870,494.91
  5. Step 5: Solve for x
    x = 121,870,494.91/12,646.75
  6. Step 6: Final answer
    x = 9,636.51

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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.