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Finding the Fourth Proportional to 6,965.00, 10,375.10 and 6,587.73

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Solution

The fourth proportional to 6,965.00, 10,375.10 and 6,587.73 is: 9,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.00 : 10,375.10 = 6,587.73 : x
  2. Step 2: Convert to fraction form
    6,965.00/10,375.10 = 6,587.73/x
  3. Step 3: Cross multiply
    6,965.00x = 10,375.10 × 6,587.73
  4. Step 4: Simplify right side
    6,965.00x = 68,348,373.99
  5. Step 5: Solve for x
    x = 68,348,373.99/6,965.00
  6. Step 6: Final answer
    x = 9,813.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.