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Finding the Fourth Proportional to 12,593.37, 17,380.80 and 7,814.17

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Solution

The fourth proportional to 12,593.37, 17,380.80 and 7,814.17 is: 10,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.37 : 17,380.80 = 7,814.17 : x
  2. Step 2: Convert to fraction form
    12,593.37/17,380.80 = 7,814.17/x
  3. Step 3: Cross multiply
    12,593.37x = 17,380.80 × 7,814.17
  4. Step 4: Simplify right side
    12,593.37x = 135,816,482.48
  5. Step 5: Solve for x
    x = 135,816,482.48/12,593.37
  6. Step 6: Final answer
    x = 10,784.76

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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.