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Finding the Fourth Proportional to 6,840.96, 9,440.49 and 3,697.14

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Solution

The fourth proportional to 6,840.96, 9,440.49 and 3,697.14 is: 5,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.96 : 9,440.49 = 3,697.14 : x
  2. Step 2: Convert to fraction form
    6,840.96/9,440.49 = 3,697.14/x
  3. Step 3: Cross multiply
    6,840.96x = 9,440.49 × 3,697.14
  4. Step 4: Simplify right side
    6,840.96x = 34,902,813.20
  5. Step 5: Solve for x
    x = 34,902,813.20/6,840.96
  6. Step 6: Final answer
    x = 5,102.03

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1.5x scale

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.