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Finding the Fourth Proportional to 9,847.56, 14,773.77 and 2,922.06

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Solution

The fourth proportional to 9,847.56, 14,773.77 and 2,922.06 is: 4,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.56 : 14,773.77 = 2,922.06 : x
  2. Step 2: Convert to fraction form
    9,847.56/14,773.77 = 2,922.06/x
  3. Step 3: Cross multiply
    9,847.56x = 14,773.77 × 2,922.06
  4. Step 4: Simplify right side
    9,847.56x = 43,169,842.37
  5. Step 5: Solve for x
    x = 43,169,842.37/9,847.56
  6. Step 6: Final answer
    x = 4,383.81

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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.