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Finding the Fourth Proportional to 6,581.76, 9,082.85 and 3,597.63

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Solution

The fourth proportional to 6,581.76, 9,082.85 and 3,597.63 is: 4,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.76 : 9,082.85 = 3,597.63 : x
  2. Step 2: Convert to fraction form
    6,581.76/9,082.85 = 3,597.63/x
  3. Step 3: Cross multiply
    6,581.76x = 9,082.85 × 3,597.63
  4. Step 4: Simplify right side
    6,581.76x = 32,676,715.66
  5. Step 5: Solve for x
    x = 32,676,715.66/6,581.76
  6. Step 6: Final answer
    x = 4,964.74

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1.5x scale

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.