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Finding the Fourth Proportional to 5,505.67, 7,597.71 and 3,082.63

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Solution

The fourth proportional to 5,505.67, 7,597.71 and 3,082.63 is: 4,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.67 : 7,597.71 = 3,082.63 : x
  2. Step 2: Convert to fraction form
    5,505.67/7,597.71 = 3,082.63/x
  3. Step 3: Cross multiply
    5,505.67x = 7,597.71 × 3,082.63
  4. Step 4: Simplify right side
    5,505.67x = 23,420,928.78
  5. Step 5: Solve for x
    x = 23,420,928.78/5,505.67
  6. Step 6: Final answer
    x = 4,253.97

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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.