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Finding the Fourth Proportional to 14,914.71, 20,582.28 and 8,200.76

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Solution

The fourth proportional to 14,914.71, 20,582.28 and 8,200.76 is: 11,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.71 : 20,582.28 = 8,200.76 : x
  2. Step 2: Convert to fraction form
    14,914.71/20,582.28 = 8,200.76/x
  3. Step 3: Cross multiply
    14,914.71x = 20,582.28 × 8,200.76
  4. Step 4: Simplify right side
    14,914.71x = 168,790,235.62
  5. Step 5: Solve for x
    x = 168,790,235.62/14,914.71
  6. Step 6: Final answer
    x = 11,317.03

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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.