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Finding the Fourth Proportional to 11,831.62, 16,327.74 and 6,526.62

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Solution

The fourth proportional to 11,831.62, 16,327.74 and 6,526.62 is: 9,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.62 : 16,327.74 = 6,526.62 : x
  2. Step 2: Convert to fraction form
    11,831.62/16,327.74 = 6,526.62/x
  3. Step 3: Cross multiply
    11,831.62x = 16,327.74 × 6,526.62
  4. Step 4: Simplify right side
    11,831.62x = 106,564,954.44
  5. Step 5: Solve for x
    x = 106,564,954.44/11,831.62
  6. Step 6: Final answer
    x = 9,006.79

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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.