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Finding the Fourth Proportional to 12,365.80, 18,553.44 and 7,438.96

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Solution

The fourth proportional to 12,365.80, 18,553.44 and 7,438.96 is: 11,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.80 : 18,553.44 = 7,438.96 : x
  2. Step 2: Convert to fraction form
    12,365.80/18,553.44 = 7,438.96/x
  3. Step 3: Cross multiply
    12,365.80x = 18,553.44 × 7,438.96
  4. Step 4: Simplify right side
    12,365.80x = 138,018,298.02
  5. Step 5: Solve for x
    x = 138,018,298.02/12,365.80
  6. Step 6: Final answer
    x = 11,161.29

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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.