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Finding the Fourth Proportional to 6,835.46, 9,433.38 and 5,153.90

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Solution

The fourth proportional to 6,835.46, 9,433.38 and 5,153.90 is: 7,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.46 : 9,433.38 = 5,153.90 : x
  2. Step 2: Convert to fraction form
    6,835.46/9,433.38 = 5,153.90/x
  3. Step 3: Cross multiply
    6,835.46x = 9,433.38 × 5,153.90
  4. Step 4: Simplify right side
    6,835.46x = 48,618,697.18
  5. Step 5: Solve for x
    x = 48,618,697.18/6,835.46
  6. Step 6: Final answer
    x = 7,112.72

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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.