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Finding the Fourth Proportional to 7,190.83, 9,923.49 and 4,004.19

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Solution

The fourth proportional to 7,190.83, 9,923.49 and 4,004.19 is: 5,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.83 : 9,923.49 = 4,004.19 : x
  2. Step 2: Convert to fraction form
    7,190.83/9,923.49 = 4,004.19/x
  3. Step 3: Cross multiply
    7,190.83x = 9,923.49 × 4,004.19
  4. Step 4: Simplify right side
    7,190.83x = 39,735,539.42
  5. Step 5: Solve for x
    x = 39,735,539.42/7,190.83
  6. Step 6: Final answer
    x = 5,525.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.