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Finding the Fourth Proportional to 11,728.63, 17,593.17 and 3,831.17

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Solution

The fourth proportional to 11,728.63, 17,593.17 and 3,831.17 is: 5,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.63 : 17,593.17 = 3,831.17 : x
  2. Step 2: Convert to fraction form
    11,728.63/17,593.17 = 3,831.17/x
  3. Step 3: Cross multiply
    11,728.63x = 17,593.17 × 3,831.17
  4. Step 4: Simplify right side
    11,728.63x = 67,402,429.32
  5. Step 5: Solve for x
    x = 67,402,429.32/11,728.63
  6. Step 6: Final answer
    x = 5,746.83

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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.