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Finding the Fourth Proportional to 7,758, 10,706.04 and 4,446

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Solution

The fourth proportional to 7,758, 10,706.04 and 4,446 is: 6,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758 : 10,706.04 = 4,446 : x
  2. Step 2: Convert to fraction form
    7,758/10,706.04 = 4,446/x
  3. Step 3: Cross multiply
    7,758x = 10,706.04 × 4,446
  4. Step 4: Simplify right side
    7,758x = 47,599,053.84
  5. Step 5: Solve for x
    x = 47,599,053.84/7,758
  6. Step 6: Final answer
    x = 6,135.48

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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.