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Finding the Fourth Proportional to 6,445.20, 9,670.90 and 3,156.50

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Solution

The fourth proportional to 6,445.20, 9,670.90 and 3,156.50 is: 4,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.20 : 9,670.90 = 3,156.50 : x
  2. Step 2: Convert to fraction form
    6,445.20/9,670.90 = 3,156.50/x
  3. Step 3: Cross multiply
    6,445.20x = 9,670.90 × 3,156.50
  4. Step 4: Simplify right side
    6,445.20x = 30,526,195.85
  5. Step 5: Solve for x
    x = 30,526,195.85/6,445.20
  6. Step 6: Final answer
    x = 4,736.27

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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.