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Finding the Fourth Proportional to 8,047, 11,101.08 and 5,690.44

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Solution

The fourth proportional to 8,047, 11,101.08 and 5,690.44 is: 7,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047 : 11,101.08 = 5,690.44 : x
  2. Step 2: Convert to fraction form
    8,047/11,101.08 = 5,690.44/x
  3. Step 3: Cross multiply
    8,047x = 11,101.08 × 5,690.44
  4. Step 4: Simplify right side
    8,047x = 63,170,029.68
  5. Step 5: Solve for x
    x = 63,170,029.68/8,047
  6. Step 6: Final answer
    x = 7,850.13

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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.