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Finding the Fourth Proportional to 9,974.91, 13,771.10 and 6,622.26

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Solution

The fourth proportional to 9,974.91, 13,771.10 and 6,622.26 is: 9,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.91 : 13,771.10 = 6,622.26 : x
  2. Step 2: Convert to fraction form
    9,974.91/13,771.10 = 6,622.26/x
  3. Step 3: Cross multiply
    9,974.91x = 13,771.10 × 6,622.26
  4. Step 4: Simplify right side
    9,974.91x = 91,195,804.69
  5. Step 5: Solve for x
    x = 91,195,804.69/9,974.91
  6. Step 6: Final answer
    x = 9,142.52

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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.