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Finding the Fourth Proportional to 14,646.60, 20,212.36 and 7,932.21

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Solution

The fourth proportional to 14,646.60, 20,212.36 and 7,932.21 is: 10,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.60 : 20,212.36 = 7,932.21 : x
  2. Step 2: Convert to fraction form
    14,646.60/20,212.36 = 7,932.21/x
  3. Step 3: Cross multiply
    14,646.60x = 20,212.36 × 7,932.21
  4. Step 4: Simplify right side
    14,646.60x = 160,328,588.49
  5. Step 5: Solve for x
    x = 160,328,588.49/14,646.60
  6. Step 6: Final answer
    x = 10,946.47

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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.