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Finding the Fourth Proportional to 7,663, 10,574.96 and 4,351

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Solution

The fourth proportional to 7,663, 10,574.96 and 4,351 is: 6,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663 : 10,574.96 = 4,351 : x
  2. Step 2: Convert to fraction form
    7,663/10,574.96 = 4,351/x
  3. Step 3: Cross multiply
    7,663x = 10,574.96 × 4,351
  4. Step 4: Simplify right side
    7,663x = 46,011,650.96
  5. Step 5: Solve for x
    x = 46,011,650.96/7,663
  6. Step 6: Final answer
    x = 6,004.39

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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.