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Finding the Fourth Proportional to 7,096.41, 10,646.16 and 2,165.91

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Solution

The fourth proportional to 7,096.41, 10,646.16 and 2,165.91 is: 3,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.41 : 10,646.16 = 2,165.91 : x
  2. Step 2: Convert to fraction form
    7,096.41/10,646.16 = 2,165.91/x
  3. Step 3: Cross multiply
    7,096.41x = 10,646.16 × 2,165.91
  4. Step 4: Simplify right side
    7,096.41x = 23,058,672.28
  5. Step 5: Solve for x
    x = 23,058,672.28/7,096.41
  6. Step 6: Final answer
    x = 3,249.34

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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.