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Finding the Fourth Proportional to 6,592.34, 9,892.16 and 2,696.45

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Solution

The fourth proportional to 6,592.34, 9,892.16 and 2,696.45 is: 4,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.34 : 9,892.16 = 2,696.45 : x
  2. Step 2: Convert to fraction form
    6,592.34/9,892.16 = 2,696.45/x
  3. Step 3: Cross multiply
    6,592.34x = 9,892.16 × 2,696.45
  4. Step 4: Simplify right side
    6,592.34x = 26,673,651.89
  5. Step 5: Solve for x
    x = 26,673,651.89/6,592.34
  6. Step 6: Final answer
    x = 4,046.16

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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.