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Finding the Fourth Proportional to 6,707.00, 10,061.60 and 2,265.10

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Solution

The fourth proportional to 6,707.00, 10,061.60 and 2,265.10 is: 3,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.00 : 10,061.60 = 2,265.10 : x
  2. Step 2: Convert to fraction form
    6,707.00/10,061.60 = 2,265.10/x
  3. Step 3: Cross multiply
    6,707.00x = 10,061.60 × 2,265.10
  4. Step 4: Simplify right side
    6,707.00x = 22,790,493.68
  5. Step 5: Solve for x
    x = 22,790,493.68/6,707.00
  6. Step 6: Final answer
    x = 3,398.01

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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.