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Finding the Fourth Proportional to 11,049, 16,574.31 and 4,123.50

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Solution

The fourth proportional to 11,049, 16,574.31 and 4,123.50 is: 6,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049 : 16,574.31 = 4,123.50 : x
  2. Step 2: Convert to fraction form
    11,049/16,574.31 = 4,123.50/x
  3. Step 3: Cross multiply
    11,049x = 16,574.31 × 4,123.50
  4. Step 4: Simplify right side
    11,049x = 68,344,167.29
  5. Step 5: Solve for x
    x = 68,344,167.29/11,049
  6. Step 6: Final answer
    x = 6,185.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.