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Finding the Fourth Proportional to 6,415, 8,847.03 and 4,174.81

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Solution

The fourth proportional to 6,415, 8,847.03 and 4,174.81 is: 5,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415 : 8,847.03 = 4,174.81 : x
  2. Step 2: Convert to fraction form
    6,415/8,847.03 = 4,174.81/x
  3. Step 3: Cross multiply
    6,415x = 8,847.03 × 4,174.81
  4. Step 4: Simplify right side
    6,415x = 36,934,669.31
  5. Step 5: Solve for x
    x = 36,934,669.31/6,415
  6. Step 6: Final answer
    x = 5,757.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.