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Finding the Fourth Proportional to 14,646.82, 20,212.63 and 7,932.46

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Solution

The fourth proportional to 14,646.82, 20,212.63 and 7,932.46 is: 10,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.82 : 20,212.63 = 7,932.46 : x
  2. Step 2: Convert to fraction form
    14,646.82/20,212.63 = 7,932.46/x
  3. Step 3: Cross multiply
    14,646.82x = 20,212.63 × 7,932.46
  4. Step 4: Simplify right side
    14,646.82x = 160,335,878.97
  5. Step 5: Solve for x
    x = 160,335,878.97/14,646.82
  6. Step 6: Final answer
    x = 10,946.80

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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.