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Finding the Fourth Proportional to 6,897, 9,516.90 and 4,104.04

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Solution

The fourth proportional to 6,897, 9,516.90 and 4,104.04 is: 5,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897 : 9,516.90 = 4,104.04 : x
  2. Step 2: Convert to fraction form
    6,897/9,516.90 = 4,104.04/x
  3. Step 3: Cross multiply
    6,897x = 9,516.90 × 4,104.04
  4. Step 4: Simplify right side
    6,897x = 39,057,738.28
  5. Step 5: Solve for x
    x = 39,057,738.28/6,897
  6. Step 6: Final answer
    x = 5,663.00

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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.