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Finding the Fourth Proportional to 6,317.05, 9,463.26 and 3,845.74

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Solution

The fourth proportional to 6,317.05, 9,463.26 and 3,845.74 is: 5,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.05 : 9,463.26 = 3,845.74 : x
  2. Step 2: Convert to fraction form
    6,317.05/9,463.26 = 3,845.74/x
  3. Step 3: Cross multiply
    6,317.05x = 9,463.26 × 3,845.74
  4. Step 4: Simplify right side
    6,317.05x = 36,393,263.76
  5. Step 5: Solve for x
    x = 36,393,263.76/6,317.05
  6. Step 6: Final answer
    x = 5,761.12

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1.5x scale

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.