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Finding the Fourth Proportional to 6,395.31, 8,825.46 and 3,742.16

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Solution

The fourth proportional to 6,395.31, 8,825.46 and 3,742.16 is: 5,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.31 : 8,825.46 = 3,742.16 : x
  2. Step 2: Convert to fraction form
    6,395.31/8,825.46 = 3,742.16/x
  3. Step 3: Cross multiply
    6,395.31x = 8,825.46 × 3,742.16
  4. Step 4: Simplify right side
    6,395.31x = 33,026,239.27
  5. Step 5: Solve for x
    x = 33,026,239.27/6,395.31
  6. Step 6: Final answer
    x = 5,164.13

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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.