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Finding the Fourth Proportional to 6,433.15, 8,872.73 and 4,308

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Solution

The fourth proportional to 6,433.15, 8,872.73 and 4,308 is: 5,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.15 : 8,872.73 = 4,308 : x
  2. Step 2: Convert to fraction form
    6,433.15/8,872.73 = 4,308/x
  3. Step 3: Cross multiply
    6,433.15x = 8,872.73 × 4,308
  4. Step 4: Simplify right side
    6,433.15x = 38,223,720.84
  5. Step 5: Solve for x
    x = 38,223,720.84/6,433.15
  6. Step 6: Final answer
    x = 5,941.68

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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.