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Finding the Fourth Proportional to 15,997.13, 22,075.89 and 8,827.11

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Solution

The fourth proportional to 15,997.13, 22,075.89 and 8,827.11 is: 12,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.13 : 22,075.89 = 8,827.11 : x
  2. Step 2: Convert to fraction form
    15,997.13/22,075.89 = 8,827.11/x
  3. Step 3: Cross multiply
    15,997.13x = 22,075.89 × 8,827.11
  4. Step 4: Simplify right side
    15,997.13x = 194,866,309.38
  5. Step 5: Solve for x
    x = 194,866,309.38/15,997.13
  6. Step 6: Final answer
    x = 12,181.33

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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.