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Finding the Fourth Proportional to 12,297.38, 16,970.38 and 6,708.38

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Solution

The fourth proportional to 12,297.38, 16,970.38 and 6,708.38 is: 9,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.38 : 16,970.38 = 6,708.38 : x
  2. Step 2: Convert to fraction form
    12,297.38/16,970.38 = 6,708.38/x
  3. Step 3: Cross multiply
    12,297.38x = 16,970.38 × 6,708.38
  4. Step 4: Simplify right side
    12,297.38x = 113,843,656.16
  5. Step 5: Solve for x
    x = 113,843,656.16/12,297.38
  6. Step 6: Final answer
    x = 9,257.56

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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.