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Finding the Fourth Proportional to 10,798.38, 16,160.96 and 6,641

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Solution

The fourth proportional to 10,798.38, 16,160.96 and 6,641 is: 9,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.38 : 16,160.96 = 6,641 : x
  2. Step 2: Convert to fraction form
    10,798.38/16,160.96 = 6,641/x
  3. Step 3: Cross multiply
    10,798.38x = 16,160.96 × 6,641
  4. Step 4: Simplify right side
    10,798.38x = 107,324,935.36
  5. Step 5: Solve for x
    x = 107,324,935.36/10,798.38
  6. Step 6: Final answer
    x = 9,938.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.