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Finding the Fourth Proportional to 13,703.09, 18,910.31 and 7,415.46

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Solution

The fourth proportional to 13,703.09, 18,910.31 and 7,415.46 is: 10,233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.09 : 18,910.31 = 7,415.46 : x
  2. Step 2: Convert to fraction form
    13,703.09/18,910.31 = 7,415.46/x
  3. Step 3: Cross multiply
    13,703.09x = 18,910.31 × 7,415.46
  4. Step 4: Simplify right side
    13,703.09x = 140,228,610.32
  5. Step 5: Solve for x
    x = 140,228,610.32/13,703.09
  6. Step 6: Final answer
    x = 10,233.36

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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.