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Finding the Fourth Proportional to 16,102, 22,220.82 and 9,392.26

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Solution

The fourth proportional to 16,102, 22,220.82 and 9,392.26 is: 12,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102 : 22,220.82 = 9,392.26 : x
  2. Step 2: Convert to fraction form
    16,102/22,220.82 = 9,392.26/x
  3. Step 3: Cross multiply
    16,102x = 22,220.82 × 9,392.26
  4. Step 4: Simplify right side
    16,102x = 208,703,718.85
  5. Step 5: Solve for x
    x = 208,703,718.85/16,102
  6. Step 6: Final answer
    x = 12,961.35

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Double scale
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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.