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Finding the Fourth Proportional to 6,445.27, 9,661.07 and 4,097.89

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Solution

The fourth proportional to 6,445.27, 9,661.07 and 4,097.89 is: 6,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.27 : 9,661.07 = 4,097.89 : x
  2. Step 2: Convert to fraction form
    6,445.27/9,661.07 = 4,097.89/x
  3. Step 3: Cross multiply
    6,445.27x = 9,661.07 × 4,097.89
  4. Step 4: Simplify right side
    6,445.27x = 39,590,024.46
  5. Step 5: Solve for x
    x = 39,590,024.46/6,445.27
  6. Step 6: Final answer
    x = 6,142.49

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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.