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Finding the Fourth Proportional to 9,903.24, 13,661.50 and 5,923.30

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Solution

The fourth proportional to 9,903.24, 13,661.50 and 5,923.30 is: 8,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.24 : 13,661.50 = 5,923.30 : x
  2. Step 2: Convert to fraction form
    9,903.24/13,661.50 = 5,923.30/x
  3. Step 3: Cross multiply
    9,903.24x = 13,661.50 × 5,923.30
  4. Step 4: Simplify right side
    9,903.24x = 80,921,162.95
  5. Step 5: Solve for x
    x = 80,921,162.95/9,903.24
  6. Step 6: Final answer
    x = 8,171.18

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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.