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Finding the Fourth Proportional to 13,711.76, 18,922.22 and 7,424.12

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Solution

The fourth proportional to 13,711.76, 18,922.22 and 7,424.12 is: 10,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.76 : 18,922.22 = 7,424.12 : x
  2. Step 2: Convert to fraction form
    13,711.76/18,922.22 = 7,424.12/x
  3. Step 3: Cross multiply
    13,711.76x = 18,922.22 × 7,424.12
  4. Step 4: Simplify right side
    13,711.76x = 140,480,831.95
  5. Step 5: Solve for x
    x = 140,480,831.95/13,711.76
  6. Step 6: Final answer
    x = 10,245.28

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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.