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Finding the Fourth Proportional to 7,191.96, 9,923.58 and 4,047.48

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Solution

The fourth proportional to 7,191.96, 9,923.58 and 4,047.48 is: 5,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.96 : 9,923.58 = 4,047.48 : x
  2. Step 2: Convert to fraction form
    7,191.96/9,923.58 = 4,047.48/x
  3. Step 3: Cross multiply
    7,191.96x = 9,923.58 × 4,047.48
  4. Step 4: Simplify right side
    7,191.96x = 40,165,491.58
  5. Step 5: Solve for x
    x = 40,165,491.58/7,191.96
  6. Step 6: Final answer
    x = 5,584.78

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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.