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Finding the Fourth Proportional to 7,745.04, 11,616.12 and 3,584.70

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Solution

The fourth proportional to 7,745.04, 11,616.12 and 3,584.70 is: 5,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.04 : 11,616.12 = 3,584.70 : x
  2. Step 2: Convert to fraction form
    7,745.04/11,616.12 = 3,584.70/x
  3. Step 3: Cross multiply
    7,745.04x = 11,616.12 × 3,584.70
  4. Step 4: Simplify right side
    7,745.04x = 41,640,305.36
  5. Step 5: Solve for x
    x = 41,640,305.36/7,745.04
  6. Step 6: Final answer
    x = 5,376.38

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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.