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Finding the Fourth Proportional to 7,705, 10,634.34 and 4,393

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Solution

The fourth proportional to 7,705, 10,634.34 and 4,393 is: 6,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705 : 10,634.34 = 4,393 : x
  2. Step 2: Convert to fraction form
    7,705/10,634.34 = 4,393/x
  3. Step 3: Cross multiply
    7,705x = 10,634.34 × 4,393
  4. Step 4: Simplify right side
    7,705x = 46,716,655.62
  5. Step 5: Solve for x
    x = 46,716,655.62/7,705
  6. Step 6: Final answer
    x = 6,063.16

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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.