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Finding the Fourth Proportional to 11,684.95, 17,444.17 and 11,274.86

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Solution

The fourth proportional to 11,684.95, 17,444.17 and 11,274.86 is: 16,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.95 : 17,444.17 = 11,274.86 : x
  2. Step 2: Convert to fraction form
    11,684.95/17,444.17 = 11,274.86/x
  3. Step 3: Cross multiply
    11,684.95x = 17,444.17 × 11,274.86
  4. Step 4: Simplify right side
    11,684.95x = 196,680,574.57
  5. Step 5: Solve for x
    x = 196,680,574.57/11,684.95
  6. Step 6: Final answer
    x = 16,831.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.