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Finding the Fourth Proportional to 12,297.11, 16,984.17 and 8,954.87

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Solution

The fourth proportional to 12,297.11, 16,984.17 and 8,954.87 is: 12,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.11 : 16,984.17 = 8,954.87 : x
  2. Step 2: Convert to fraction form
    12,297.11/16,984.17 = 8,954.87/x
  3. Step 3: Cross multiply
    12,297.11x = 16,984.17 × 8,954.87
  4. Step 4: Simplify right side
    12,297.11x = 152,090,949.49
  5. Step 5: Solve for x
    x = 152,090,949.49/12,297.11
  6. Step 6: Final answer
    x = 12,368.03

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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.