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Finding the Fourth Proportional to 12,831.17, 17,706.34 and 7,241.81

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Solution

The fourth proportional to 12,831.17, 17,706.34 and 7,241.81 is: 9,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.17 : 17,706.34 = 7,241.81 : x
  2. Step 2: Convert to fraction form
    12,831.17/17,706.34 = 7,241.81/x
  3. Step 3: Cross multiply
    12,831.17x = 17,706.34 × 7,241.81
  4. Step 4: Simplify right side
    12,831.17x = 128,225,976.24
  5. Step 5: Solve for x
    x = 128,225,976.24/12,831.17
  6. Step 6: Final answer
    x = 9,993.32

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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.