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Finding the Fourth Proportional to 14,646.86, 20,212.55 and 7,932.33

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Solution

The fourth proportional to 14,646.86, 20,212.55 and 7,932.33 is: 10,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.86 : 20,212.55 = 7,932.33 : x
  2. Step 2: Convert to fraction form
    14,646.86/20,212.55 = 7,932.33/x
  3. Step 3: Cross multiply
    14,646.86x = 20,212.55 × 7,932.33
  4. Step 4: Simplify right side
    14,646.86x = 160,332,596.91
  5. Step 5: Solve for x
    x = 160,332,596.91/14,646.86
  6. Step 6: Final answer
    x = 10,946.55

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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.