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Finding the Fourth Proportional to 14,646.61, 20,212.20 and 7,932.08

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Solution

The fourth proportional to 14,646.61, 20,212.20 and 7,932.08 is: 10,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.61 : 20,212.20 = 7,932.08 : x
  2. Step 2: Convert to fraction form
    14,646.61/20,212.20 = 7,932.08/x
  3. Step 3: Cross multiply
    14,646.61x = 20,212.20 × 7,932.08
  4. Step 4: Simplify right side
    14,646.61x = 160,324,791.86
  5. Step 5: Solve for x
    x = 160,324,791.86/14,646.61
  6. Step 6: Final answer
    x = 10,946.21

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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.