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Finding the Fourth Proportional to 6,395.82, 8,824.86 and 3,742.80

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Solution

The fourth proportional to 6,395.82, 8,824.86 and 3,742.80 is: 5,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.82 : 8,824.86 = 3,742.80 : x
  2. Step 2: Convert to fraction form
    6,395.82/8,824.86 = 3,742.80/x
  3. Step 3: Cross multiply
    6,395.82x = 8,824.86 × 3,742.80
  4. Step 4: Simplify right side
    6,395.82x = 33,029,686.01
  5. Step 5: Solve for x
    x = 33,029,686.01/6,395.82
  6. Step 6: Final answer
    x = 5,164.26

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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.