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Finding the Fourth Proportional to 12,266.40, 16,930 and 8,074.40

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Solution

The fourth proportional to 12,266.40, 16,930 and 8,074.40 is: 11,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.40 : 16,930 = 8,074.40 : x
  2. Step 2: Convert to fraction form
    12,266.40/16,930 = 8,074.40/x
  3. Step 3: Cross multiply
    12,266.40x = 16,930 × 8,074.40
  4. Step 4: Simplify right side
    12,266.40x = 136,699,592
  5. Step 5: Solve for x
    x = 136,699,592/12,266.40
  6. Step 6: Final answer
    x = 11,144.23

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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.