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Finding the Fourth Proportional to 6,958, 9,602.04 and 3,814.21

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Solution

The fourth proportional to 6,958, 9,602.04 and 3,814.21 is: 5,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958 : 9,602.04 = 3,814.21 : x
  2. Step 2: Convert to fraction form
    6,958/9,602.04 = 3,814.21/x
  3. Step 3: Cross multiply
    6,958x = 9,602.04 × 3,814.21
  4. Step 4: Simplify right side
    6,958x = 36,624,196.99
  5. Step 5: Solve for x
    x = 36,624,196.99/6,958
  6. Step 6: Final answer
    x = 5,263.61

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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.