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Finding the Fourth Proportional to 12,831.62, 17,707.44 and 7,166.46

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Solution

The fourth proportional to 12,831.62, 17,707.44 and 7,166.46 is: 9,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.62 : 17,707.44 = 7,166.46 : x
  2. Step 2: Convert to fraction form
    12,831.62/17,707.44 = 7,166.46/x
  3. Step 3: Cross multiply
    12,831.62x = 17,707.44 × 7,166.46
  4. Step 4: Simplify right side
    12,831.62x = 126,899,660.46
  5. Step 5: Solve for x
    x = 126,899,660.46/12,831.62
  6. Step 6: Final answer
    x = 9,889.61

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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.