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Finding the Fourth Proportional to 12,658.12, 17,468.33 and 6,993

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Solution

The fourth proportional to 12,658.12, 17,468.33 and 6,993 is: 9,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.12 : 17,468.33 = 6,993 : x
  2. Step 2: Convert to fraction form
    12,658.12/17,468.33 = 6,993/x
  3. Step 3: Cross multiply
    12,658.12x = 17,468.33 × 6,993
  4. Step 4: Simplify right side
    12,658.12x = 122,155,996.73
  5. Step 5: Solve for x
    x = 122,155,996.73/12,658.12
  6. Step 6: Final answer
    x = 9,650.41

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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.