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Finding the Fourth Proportional to 6,993.46, 9,647.94 and 4,008.61

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Solution

The fourth proportional to 6,993.46, 9,647.94 and 4,008.61 is: 5,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.46 : 9,647.94 = 4,008.61 : x
  2. Step 2: Convert to fraction form
    6,993.46/9,647.94 = 4,008.61/x
  3. Step 3: Cross multiply
    6,993.46x = 9,647.94 × 4,008.61
  4. Step 4: Simplify right side
    6,993.46x = 38,674,828.76
  5. Step 5: Solve for x
    x = 38,674,828.76/6,993.46
  6. Step 6: Final answer
    x = 5,530.14

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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.