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Finding the Fourth Proportional to 6,522.36, 9,000.84 and 3,538.28

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Solution

The fourth proportional to 6,522.36, 9,000.84 and 3,538.28 is: 4,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.36 : 9,000.84 = 3,538.28 : x
  2. Step 2: Convert to fraction form
    6,522.36/9,000.84 = 3,538.28/x
  3. Step 3: Cross multiply
    6,522.36x = 9,000.84 × 3,538.28
  4. Step 4: Simplify right side
    6,522.36x = 31,847,447.15
  5. Step 5: Solve for x
    x = 31,847,447.15/6,522.36
  6. Step 6: Final answer
    x = 4,882.81

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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.