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Finding the Fourth Proportional to 15,912.12, 23,831.85 and 7,597.97

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Solution

The fourth proportional to 15,912.12, 23,831.85 and 7,597.97 is: 11,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912.12 : 23,831.85 = 7,597.97 : x
  2. Step 2: Convert to fraction form
    15,912.12/23,831.85 = 7,597.97/x
  3. Step 3: Cross multiply
    15,912.12x = 23,831.85 × 7,597.97
  4. Step 4: Simplify right side
    15,912.12x = 181,073,740.92
  5. Step 5: Solve for x
    x = 181,073,740.92/15,912.12
  6. Step 6: Final answer
    x = 11,379.61

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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.