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Finding the Fourth Proportional to 6,696, 10,035.36 and 4,950.72

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Solution

The fourth proportional to 6,696, 10,035.36 and 4,950.72 is: 7,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696 : 10,035.36 = 4,950.72 : x
  2. Step 2: Convert to fraction form
    6,696/10,035.36 = 4,950.72/x
  3. Step 3: Cross multiply
    6,696x = 10,035.36 × 4,950.72
  4. Step 4: Simplify right side
    6,696x = 49,682,257.46
  5. Step 5: Solve for x
    x = 49,682,257.46/6,696
  6. Step 6: Final answer
    x = 7,419.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.