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Finding the Fourth Proportional to 7,846.04, 11,759.78 and 3,454.32

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Solution

The fourth proportional to 7,846.04, 11,759.78 and 3,454.32 is: 5,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.04 : 11,759.78 = 3,454.32 : x
  2. Step 2: Convert to fraction form
    7,846.04/11,759.78 = 3,454.32/x
  3. Step 3: Cross multiply
    7,846.04x = 11,759.78 × 3,454.32
  4. Step 4: Simplify right side
    7,846.04x = 40,622,043.25
  5. Step 5: Solve for x
    x = 40,622,043.25/7,846.04
  6. Step 6: Final answer
    x = 5,177.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.