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Finding the Fourth Proportional to 6,597.09, 9,899.28 and 3,965.40

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Solution

The fourth proportional to 6,597.09, 9,899.28 and 3,965.40 is: 5,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.09 : 9,899.28 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    6,597.09/9,899.28 = 3,965.40/x
  3. Step 3: Cross multiply
    6,597.09x = 9,899.28 × 3,965.40
  4. Step 4: Simplify right side
    6,597.09x = 39,254,604.91
  5. Step 5: Solve for x
    x = 39,254,604.91/6,597.09
  6. Step 6: Final answer
    x = 5,950.29

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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.