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Finding the Fourth Proportional to 14,212.80, 19,612.80 and 7,924.80

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Solution

The fourth proportional to 14,212.80, 19,612.80 and 7,924.80 is: 10,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.80 : 19,612.80 = 7,924.80 : x
  2. Step 2: Convert to fraction form
    14,212.80/19,612.80 = 7,924.80/x
  3. Step 3: Cross multiply
    14,212.80x = 19,612.80 × 7,924.80
  4. Step 4: Simplify right side
    14,212.80x = 155,427,517.44
  5. Step 5: Solve for x
    x = 155,427,517.44/14,212.80
  6. Step 6: Final answer
    x = 10,935.74

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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.