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Finding the Fourth Proportional to 12,646.82, 17,452.98 and 6,981.92

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Solution

The fourth proportional to 12,646.82, 17,452.98 and 6,981.92 is: 9,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.82 : 17,452.98 = 6,981.92 : x
  2. Step 2: Convert to fraction form
    12,646.82/17,452.98 = 6,981.92/x
  3. Step 3: Cross multiply
    12,646.82x = 17,452.98 × 6,981.92
  4. Step 4: Simplify right side
    12,646.82x = 121,855,310.12
  5. Step 5: Solve for x
    x = 121,855,310.12/12,646.82
  6. Step 6: Final answer
    x = 9,635.25

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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.