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Finding the Fourth Proportional to 9,847.17, 14,761.44 and 3,927.71

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Solution

The fourth proportional to 9,847.17, 14,761.44 and 3,927.71 is: 5,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.17 : 14,761.44 = 3,927.71 : x
  2. Step 2: Convert to fraction form
    9,847.17/14,761.44 = 3,927.71/x
  3. Step 3: Cross multiply
    9,847.17x = 14,761.44 × 3,927.71
  4. Step 4: Simplify right side
    9,847.17x = 57,978,581.70
  5. Step 5: Solve for x
    x = 57,978,581.70/9,847.17
  6. Step 6: Final answer
    x = 5,887.84

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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.