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Finding the Fourth Proportional to 12,266.72, 16,922.32 and 7,549.28

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Solution

The fourth proportional to 12,266.72, 16,922.32 and 7,549.28 is: 10,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.72 : 16,922.32 = 7,549.28 : x
  2. Step 2: Convert to fraction form
    12,266.72/16,922.32 = 7,549.28/x
  3. Step 3: Cross multiply
    12,266.72x = 16,922.32 × 7,549.28
  4. Step 4: Simplify right side
    12,266.72x = 127,751,331.93
  5. Step 5: Solve for x
    x = 127,751,331.93/12,266.72
  6. Step 6: Final answer
    x = 10,414.47

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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.