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Finding the Fourth Proportional to 12,633.15, 17,433.82 and 6,968.10

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Solution

The fourth proportional to 12,633.15, 17,433.82 and 6,968.10 is: 9,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.15 : 17,433.82 = 6,968.10 : x
  2. Step 2: Convert to fraction form
    12,633.15/17,433.82 = 6,968.10/x
  3. Step 3: Cross multiply
    12,633.15x = 17,433.82 × 6,968.10
  4. Step 4: Simplify right side
    12,633.15x = 121,480,601.14
  5. Step 5: Solve for x
    x = 121,480,601.14/12,633.15
  6. Step 6: Final answer
    x = 9,616.02

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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.