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Finding the Fourth Proportional to 6,596, 9,881.64 and 3,305.24

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Solution

The fourth proportional to 6,596, 9,881.64 and 3,305.24 is: 4,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 9,881.64 = 3,305.24 : x
  2. Step 2: Convert to fraction form
    6,596/9,881.64 = 3,305.24/x
  3. Step 3: Cross multiply
    6,596x = 9,881.64 × 3,305.24
  4. Step 4: Simplify right side
    6,596x = 32,661,191.79
  5. Step 5: Solve for x
    x = 32,661,191.79/6,596
  6. Step 6: Final answer
    x = 4,951.67

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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.