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Finding the Fourth Proportional to 9,847.53, 14,777.19 and 3,923.37

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Solution

The fourth proportional to 9,847.53, 14,777.19 and 3,923.37 is: 5,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.53 : 14,777.19 = 3,923.37 : x
  2. Step 2: Convert to fraction form
    9,847.53/14,777.19 = 3,923.37/x
  3. Step 3: Cross multiply
    9,847.53x = 14,777.19 × 3,923.37
  4. Step 4: Simplify right side
    9,847.53x = 57,976,383.93
  5. Step 5: Solve for x
    x = 57,976,383.93/9,847.53
  6. Step 6: Final answer
    x = 5,887.40

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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.