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Finding the Fourth Proportional to 6,581.63, 9,082.66 and 3,597.47

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Solution

The fourth proportional to 6,581.63, 9,082.66 and 3,597.47 is: 4,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.63 : 9,082.66 = 3,597.47 : x
  2. Step 2: Convert to fraction form
    6,581.63/9,082.66 = 3,597.47/x
  3. Step 3: Cross multiply
    6,581.63x = 9,082.66 × 3,597.47
  4. Step 4: Simplify right side
    6,581.63x = 32,674,596.87
  5. Step 5: Solve for x
    x = 32,674,596.87/6,581.63
  6. Step 6: Final answer
    x = 4,964.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.