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Finding the Fourth Proportional to 14,107.52, 19,468.14 and 7,819.76

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Solution

The fourth proportional to 14,107.52, 19,468.14 and 7,819.76 is: 10,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.52 : 19,468.14 = 7,819.76 : x
  2. Step 2: Convert to fraction form
    14,107.52/19,468.14 = 7,819.76/x
  3. Step 3: Cross multiply
    14,107.52x = 19,468.14 × 7,819.76
  4. Step 4: Simplify right side
    14,107.52x = 152,236,182.45
  5. Step 5: Solve for x
    x = 152,236,182.45/14,107.52
  6. Step 6: Final answer
    x = 10,791.14

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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.