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Finding the Fourth Proportional to 6,395.64, 8,825.35 and 3,742.53

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Solution

The fourth proportional to 6,395.64, 8,825.35 and 3,742.53 is: 5,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.64 : 8,825.35 = 3,742.53 : x
  2. Step 2: Convert to fraction form
    6,395.64/8,825.35 = 3,742.53/x
  3. Step 3: Cross multiply
    6,395.64x = 8,825.35 × 3,742.53
  4. Step 4: Simplify right side
    6,395.64x = 33,029,137.14
  5. Step 5: Solve for x
    x = 33,029,137.14/6,395.64
  6. Step 6: Final answer
    x = 5,164.32

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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.