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Finding the Fourth Proportional to 6,199.44, 8,529.84 and 5,357.44

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Solution

The fourth proportional to 6,199.44, 8,529.84 and 5,357.44 is: 7,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.44 : 8,529.84 = 5,357.44 : x
  2. Step 2: Convert to fraction form
    6,199.44/8,529.84 = 5,357.44/x
  3. Step 3: Cross multiply
    6,199.44x = 8,529.84 × 5,357.44
  4. Step 4: Simplify right side
    6,199.44x = 45,698,116.67
  5. Step 5: Solve for x
    x = 45,698,116.67/6,199.44
  6. Step 6: Final answer
    x = 7,371.33

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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.