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Finding the Fourth Proportional to 6,523.50, 9,002.17 and 3,539.22

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Solution

The fourth proportional to 6,523.50, 9,002.17 and 3,539.22 is: 4,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.50 : 9,002.17 = 3,539.22 : x
  2. Step 2: Convert to fraction form
    6,523.50/9,002.17 = 3,539.22/x
  3. Step 3: Cross multiply
    6,523.50x = 9,002.17 × 3,539.22
  4. Step 4: Simplify right side
    6,523.50x = 31,860,651.26
  5. Step 5: Solve for x
    x = 31,860,651.26/6,523.50
  6. Step 6: Final answer
    x = 4,883.98

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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.