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Finding the Fourth Proportional to 9,974.98, 13,771.11 and 6,622.38

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Solution

The fourth proportional to 9,974.98, 13,771.11 and 6,622.38 is: 9,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.98 : 13,771.11 = 6,622.38 : x
  2. Step 2: Convert to fraction form
    9,974.98/13,771.11 = 6,622.38/x
  3. Step 3: Cross multiply
    9,974.98x = 13,771.11 × 6,622.38
  4. Step 4: Simplify right side
    9,974.98x = 91,197,548.28
  5. Step 5: Solve for x
    x = 91,197,548.28/9,974.98
  6. Step 6: Final answer
    x = 9,142.63

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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.