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Finding the Fourth Proportional to 14,131.97, 19,501.14 and 7,843.85

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Solution

The fourth proportional to 14,131.97, 19,501.14 and 7,843.85 is: 10,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.97 : 19,501.14 = 7,843.85 : x
  2. Step 2: Convert to fraction form
    14,131.97/19,501.14 = 7,843.85/x
  3. Step 3: Cross multiply
    14,131.97x = 19,501.14 × 7,843.85
  4. Step 4: Simplify right side
    14,131.97x = 152,963,880.26
  5. Step 5: Solve for x
    x = 152,963,880.26/14,131.97
  6. Step 6: Final answer
    x = 10,823.96

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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.