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Finding the Fourth Proportional to 16,104, 22,229.56 and 9,391.72

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Solution

The fourth proportional to 16,104, 22,229.56 and 9,391.72 is: 12,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104 : 22,229.56 = 9,391.72 : x
  2. Step 2: Convert to fraction form
    16,104/22,229.56 = 9,391.72/x
  3. Step 3: Cross multiply
    16,104x = 22,229.56 × 9,391.72
  4. Step 4: Simplify right side
    16,104x = 208,773,803.24
  5. Step 5: Solve for x
    x = 208,773,803.24/16,104
  6. Step 6: Final answer
    x = 12,964.10

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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.