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Finding the Fourth Proportional to 16,295, 22,487.12 and 8,843

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Solution

The fourth proportional to 16,295, 22,487.12 and 8,843 is: 12,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295 : 22,487.12 = 8,843 : x
  2. Step 2: Convert to fraction form
    16,295/22,487.12 = 8,843/x
  3. Step 3: Cross multiply
    16,295x = 22,487.12 × 8,843
  4. Step 4: Simplify right side
    16,295x = 198,853,602.16
  5. Step 5: Solve for x
    x = 198,853,602.16/16,295
  6. Step 6: Final answer
    x = 12,203.35

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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.