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Finding the Fourth Proportional to 6,354.90, 9,523.98 and 3,061.98

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Solution

The fourth proportional to 6,354.90, 9,523.98 and 3,061.98 is: 4,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.90 : 9,523.98 = 3,061.98 : x
  2. Step 2: Convert to fraction form
    6,354.90/9,523.98 = 3,061.98/x
  3. Step 3: Cross multiply
    6,354.90x = 9,523.98 × 3,061.98
  4. Step 4: Simplify right side
    6,354.90x = 29,162,236.28
  5. Step 5: Solve for x
    x = 29,162,236.28/6,354.90
  6. Step 6: Final answer
    x = 4,588.94

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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.