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Finding the Fourth Proportional to 6,477.44, 8,938.54 and 3,682.88

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Solution

The fourth proportional to 6,477.44, 8,938.54 and 3,682.88 is: 5,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.44 : 8,938.54 = 3,682.88 : x
  2. Step 2: Convert to fraction form
    6,477.44/8,938.54 = 3,682.88/x
  3. Step 3: Cross multiply
    6,477.44x = 8,938.54 × 3,682.88
  4. Step 4: Simplify right side
    6,477.44x = 32,919,570.20
  5. Step 5: Solve for x
    x = 32,919,570.20/6,477.44
  6. Step 6: Final answer
    x = 5,082.19

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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.