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Finding the Fourth Proportional to 14,107.80, 19,468.74 and 7,820.28

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Solution

The fourth proportional to 14,107.80, 19,468.74 and 7,820.28 is: 10,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.80 : 19,468.74 = 7,820.28 : x
  2. Step 2: Convert to fraction form
    14,107.80/19,468.74 = 7,820.28/x
  3. Step 3: Cross multiply
    14,107.80x = 19,468.74 × 7,820.28
  4. Step 4: Simplify right side
    14,107.80x = 152,250,998.05
  5. Step 5: Solve for x
    x = 152,250,998.05/14,107.80
  6. Step 6: Final answer
    x = 10,791.97

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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.