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Finding the Fourth Proportional to 6,356.31, 9,536.54 and 3,069.78

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Solution

The fourth proportional to 6,356.31, 9,536.54 and 3,069.78 is: 4,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.31 : 9,536.54 = 3,069.78 : x
  2. Step 2: Convert to fraction form
    6,356.31/9,536.54 = 3,069.78/x
  3. Step 3: Cross multiply
    6,356.31x = 9,536.54 × 3,069.78
  4. Step 4: Simplify right side
    6,356.31x = 29,275,064.41
  5. Step 5: Solve for x
    x = 29,275,064.41/6,356.31
  6. Step 6: Final answer
    x = 4,605.67

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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.