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Finding the Fourth Proportional to 12,262.62, 16,916.78 and 7,224.42

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Solution

The fourth proportional to 12,262.62, 16,916.78 and 7,224.42 is: 9,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.62 : 16,916.78 = 7,224.42 : x
  2. Step 2: Convert to fraction form
    12,262.62/16,916.78 = 7,224.42/x
  3. Step 3: Cross multiply
    12,262.62x = 16,916.78 × 7,224.42
  4. Step 4: Simplify right side
    12,262.62x = 122,213,923.77
  5. Step 5: Solve for x
    x = 122,213,923.77/12,262.62
  6. Step 6: Final answer
    x = 9,966.38

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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.