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Finding the Fourth Proportional to 13,843.94, 19,104.84 and 7,875.65

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Solution

The fourth proportional to 13,843.94, 19,104.84 and 7,875.65 is: 10,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.94 : 19,104.84 = 7,875.65 : x
  2. Step 2: Convert to fraction form
    13,843.94/19,104.84 = 7,875.65/x
  3. Step 3: Cross multiply
    13,843.94x = 19,104.84 × 7,875.65
  4. Step 4: Simplify right side
    13,843.94x = 150,462,937.62
  5. Step 5: Solve for x
    x = 150,462,937.62/13,843.94
  6. Step 6: Final answer
    x = 10,868.51

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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.