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Finding the Fourth Proportional to 6,589.44, 9,885.28 and 3,301.92

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Solution

The fourth proportional to 6,589.44, 9,885.28 and 3,301.92 is: 4,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.44 : 9,885.28 = 3,301.92 : x
  2. Step 2: Convert to fraction form
    6,589.44/9,885.28 = 3,301.92/x
  3. Step 3: Cross multiply
    6,589.44x = 9,885.28 × 3,301.92
  4. Step 4: Simplify right side
    6,589.44x = 32,640,403.74
  5. Step 5: Solve for x
    x = 32,640,403.74/6,589.44
  6. Step 6: Final answer
    x = 4,953.44

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1.5x scale

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.