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Finding the Fourth Proportional to 12,710.93, 17,540.61 and 6,968.36

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Solution

The fourth proportional to 12,710.93, 17,540.61 and 6,968.36 is: 9,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.93 : 17,540.61 = 6,968.36 : x
  2. Step 2: Convert to fraction form
    12,710.93/17,540.61 = 6,968.36/x
  3. Step 3: Cross multiply
    12,710.93x = 17,540.61 × 6,968.36
  4. Step 4: Simplify right side
    12,710.93x = 122,229,197.40
  5. Step 5: Solve for x
    x = 122,229,197.40/12,710.93
  6. Step 6: Final answer
    x = 9,616.07

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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.