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Finding the Fourth Proportional to 9,906.97, 13,673.01 and 6,131.34

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Solution

The fourth proportional to 9,906.97, 13,673.01 and 6,131.34 is: 8,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.97 : 13,673.01 = 6,131.34 : x
  2. Step 2: Convert to fraction form
    9,906.97/13,673.01 = 6,131.34/x
  3. Step 3: Cross multiply
    9,906.97x = 13,673.01 × 6,131.34
  4. Step 4: Simplify right side
    9,906.97x = 83,833,907.32
  5. Step 5: Solve for x
    x = 83,833,907.32/9,906.97
  6. Step 6: Final answer
    x = 8,462.12

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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.