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Finding the Fourth Proportional to 16,200.73, 22,356.93 and 9,127.09

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Solution

The fourth proportional to 16,200.73, 22,356.93 and 9,127.09 is: 12,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.73 : 22,356.93 = 9,127.09 : x
  2. Step 2: Convert to fraction form
    16,200.73/22,356.93 = 9,127.09/x
  3. Step 3: Cross multiply
    16,200.73x = 22,356.93 × 9,127.09
  4. Step 4: Simplify right side
    16,200.73x = 204,053,712.23
  5. Step 5: Solve for x
    x = 204,053,712.23/16,200.73
  6. Step 6: Final answer
    x = 12,595.34

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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.