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Finding the Fourth Proportional to 7,067.25, 9,773.97 and 6,181.51

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Solution

The fourth proportional to 7,067.25, 9,773.97 and 6,181.51 is: 8,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.25 : 9,773.97 = 6,181.51 : x
  2. Step 2: Convert to fraction form
    7,067.25/9,773.97 = 6,181.51/x
  3. Step 3: Cross multiply
    7,067.25x = 9,773.97 × 6,181.51
  4. Step 4: Simplify right side
    7,067.25x = 60,417,893.29
  5. Step 5: Solve for x
    x = 60,417,893.29/7,067.25
  6. Step 6: Final answer
    x = 8,549.00

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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.