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Finding the Fourth Proportional to 6,520.93, 9,764.70 and 3,595.99

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Solution

The fourth proportional to 6,520.93, 9,764.70 and 3,595.99 is: 5,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.93 : 9,764.70 = 3,595.99 : x
  2. Step 2: Convert to fraction form
    6,520.93/9,764.70 = 3,595.99/x
  3. Step 3: Cross multiply
    6,520.93x = 9,764.70 × 3,595.99
  4. Step 4: Simplify right side
    6,520.93x = 35,113,763.55
  5. Step 5: Solve for x
    x = 35,113,763.55/6,520.93
  6. Step 6: Final answer
    x = 5,384.78

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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.