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Finding the Fourth Proportional to 14,847.71, 20,488.97 and 8,132

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Solution

The fourth proportional to 14,847.71, 20,488.97 and 8,132 is: 11,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.71 : 20,488.97 = 8,132 : x
  2. Step 2: Convert to fraction form
    14,847.71/20,488.97 = 8,132/x
  3. Step 3: Cross multiply
    14,847.71x = 20,488.97 × 8,132
  4. Step 4: Simplify right side
    14,847.71x = 166,616,263.38
  5. Step 5: Solve for x
    x = 166,616,263.38/14,847.71
  6. Step 6: Final answer
    x = 11,221.68

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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.