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Finding the Fourth Proportional to 14,107.14, 19,468.50 and 7,819.11

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Solution

The fourth proportional to 14,107.14, 19,468.50 and 7,819.11 is: 10,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.14 : 19,468.50 = 7,819.11 : x
  2. Step 2: Convert to fraction form
    14,107.14/19,468.50 = 7,819.11/x
  3. Step 3: Cross multiply
    14,107.14x = 19,468.50 × 7,819.11
  4. Step 4: Simplify right side
    14,107.14x = 152,226,343.04
  5. Step 5: Solve for x
    x = 152,226,343.04/14,107.14
  6. Step 6: Final answer
    x = 10,790.73

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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.