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Finding the Fourth Proportional to 6,350.40, 8,759.34 and 5,022

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Solution

The fourth proportional to 6,350.40, 8,759.34 and 5,022 is: 6,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.40 : 8,759.34 = 5,022 : x
  2. Step 2: Convert to fraction form
    6,350.40/8,759.34 = 5,022/x
  3. Step 3: Cross multiply
    6,350.40x = 8,759.34 × 5,022
  4. Step 4: Simplify right side
    6,350.40x = 43,989,405.48
  5. Step 5: Solve for x
    x = 43,989,405.48/6,350.40
  6. Step 6: Final answer
    x = 6,927.03

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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.