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Finding the Fourth Proportional to 16,596.47, 24,905.42 and 7,831.86

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Solution

The fourth proportional to 16,596.47, 24,905.42 and 7,831.86 is: 11,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.47 : 24,905.42 = 7,831.86 : x
  2. Step 2: Convert to fraction form
    16,596.47/24,905.42 = 7,831.86/x
  3. Step 3: Cross multiply
    16,596.47x = 24,905.42 × 7,831.86
  4. Step 4: Simplify right side
    16,596.47x = 195,055,723.52
  5. Step 5: Solve for x
    x = 195,055,723.52/16,596.47
  6. Step 6: Final answer
    x = 11,752.85

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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.