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Finding the Fourth Proportional to 14,691.78, 22,048.61 and 6,906.06

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Solution

The fourth proportional to 14,691.78, 22,048.61 and 6,906.06 is: 10,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.78 : 22,048.61 = 6,906.06 : x
  2. Step 2: Convert to fraction form
    14,691.78/22,048.61 = 6,906.06/x
  3. Step 3: Cross multiply
    14,691.78x = 22,048.61 × 6,906.06
  4. Step 4: Simplify right side
    14,691.78x = 152,268,989.05
  5. Step 5: Solve for x
    x = 152,268,989.05/14,691.78
  6. Step 6: Final answer
    x = 10,364.23

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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.