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Finding the Fourth Proportional to 6,300.05, 8,684.96 and 4,172.01

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Solution

The fourth proportional to 6,300.05, 8,684.96 and 4,172.01 is: 5,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.05 : 8,684.96 = 4,172.01 : x
  2. Step 2: Convert to fraction form
    6,300.05/8,684.96 = 4,172.01/x
  3. Step 3: Cross multiply
    6,300.05x = 8,684.96 × 4,172.01
  4. Step 4: Simplify right side
    6,300.05x = 36,233,739.97
  5. Step 5: Solve for x
    x = 36,233,739.97/6,300.05
  6. Step 6: Final answer
    x = 5,751.34

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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.