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Finding the Fourth Proportional to 7,057, 9,738.66 and 3,913.84

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Solution

The fourth proportional to 7,057, 9,738.66 and 3,913.84 is: 5,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057 : 9,738.66 = 3,913.84 : x
  2. Step 2: Convert to fraction form
    7,057/9,738.66 = 3,913.84/x
  3. Step 3: Cross multiply
    7,057x = 9,738.66 × 3,913.84
  4. Step 4: Simplify right side
    7,057x = 38,115,557.05
  5. Step 5: Solve for x
    x = 38,115,557.05/7,057
  6. Step 6: Final answer
    x = 5,401.10

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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.