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Finding the Fourth Proportional to 5,947.44, 8,199.47 and 5,104.50

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Solution

The fourth proportional to 5,947.44, 8,199.47 and 5,104.50 is: 7,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.44 : 8,199.47 = 5,104.50 : x
  2. Step 2: Convert to fraction form
    5,947.44/8,199.47 = 5,104.50/x
  3. Step 3: Cross multiply
    5,947.44x = 8,199.47 × 5,104.50
  4. Step 4: Simplify right side
    5,947.44x = 41,854,169.09
  5. Step 5: Solve for x
    x = 41,854,169.09/5,947.44
  6. Step 6: Final answer
    x = 7,037.34

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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.