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Finding the Fourth Proportional to 16,424.60, 22,665.96 and 9,351

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Solution

The fourth proportional to 16,424.60, 22,665.96 and 9,351 is: 12,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.60 : 22,665.96 = 9,351 : x
  2. Step 2: Convert to fraction form
    16,424.60/22,665.96 = 9,351/x
  3. Step 3: Cross multiply
    16,424.60x = 22,665.96 × 9,351
  4. Step 4: Simplify right side
    16,424.60x = 211,949,391.96
  5. Step 5: Solve for x
    x = 211,949,391.96/16,424.60
  6. Step 6: Final answer
    x = 12,904.39

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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.