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Finding the Fourth Proportional to 14,646.96, 20,212.78 and 7,932.58

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Solution

The fourth proportional to 14,646.96, 20,212.78 and 7,932.58 is: 10,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.96 : 20,212.78 = 7,932.58 : x
  2. Step 2: Convert to fraction form
    14,646.96/20,212.78 = 7,932.58/x
  3. Step 3: Cross multiply
    14,646.96x = 20,212.78 × 7,932.58
  4. Step 4: Simplify right side
    14,646.96x = 160,339,494.37
  5. Step 5: Solve for x
    x = 160,339,494.37/14,646.96
  6. Step 6: Final answer
    x = 10,946.95

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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.