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Finding the Fourth Proportional to 14,304.18, 19,739.52 and 7,843.80

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Solution

The fourth proportional to 14,304.18, 19,739.52 and 7,843.80 is: 10,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304.18 : 19,739.52 = 7,843.80 : x
  2. Step 2: Convert to fraction form
    14,304.18/19,739.52 = 7,843.80/x
  3. Step 3: Cross multiply
    14,304.18x = 19,739.52 × 7,843.80
  4. Step 4: Simplify right side
    14,304.18x = 154,832,846.98
  5. Step 5: Solve for x
    x = 154,832,846.98/14,304.18
  6. Step 6: Final answer
    x = 10,824.31

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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.