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Finding the Fourth Proportional to 16,137, 22,271.21 and 9,768.73

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Solution

The fourth proportional to 16,137, 22,271.21 and 9,768.73 is: 13,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137 : 22,271.21 = 9,768.73 : x
  2. Step 2: Convert to fraction form
    16,137/22,271.21 = 9,768.73/x
  3. Step 3: Cross multiply
    16,137x = 22,271.21 × 9,768.73
  4. Step 4: Simplify right side
    16,137x = 217,561,437.26
  5. Step 5: Solve for x
    x = 217,561,437.26/16,137
  6. Step 6: Final answer
    x = 13,482.15

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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.