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Finding the Fourth Proportional to 7,682, 10,601.22 and 4,370

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Solution

The fourth proportional to 7,682, 10,601.22 and 4,370 is: 6,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682 : 10,601.22 = 4,370 : x
  2. Step 2: Convert to fraction form
    7,682/10,601.22 = 4,370/x
  3. Step 3: Cross multiply
    7,682x = 10,601.22 × 4,370
  4. Step 4: Simplify right side
    7,682x = 46,327,331.40
  5. Step 5: Solve for x
    x = 46,327,331.40/7,682
  6. Step 6: Final answer
    x = 6,030.63

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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.