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Finding the Fourth Proportional to 13,388.94, 18,476.50 and 7,723.94

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Solution

The fourth proportional to 13,388.94, 18,476.50 and 7,723.94 is: 10,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.94 : 18,476.50 = 7,723.94 : x
  2. Step 2: Convert to fraction form
    13,388.94/18,476.50 = 7,723.94/x
  3. Step 3: Cross multiply
    13,388.94x = 18,476.50 × 7,723.94
  4. Step 4: Simplify right side
    13,388.94x = 142,711,377.41
  5. Step 5: Solve for x
    x = 142,711,377.41/13,388.94
  6. Step 6: Final answer
    x = 10,658.90

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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.