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Finding the Fourth Proportional to 11,412.98, 15,745.06 and 7,161.13

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Solution

The fourth proportional to 11,412.98, 15,745.06 and 7,161.13 is: 9,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.98 : 15,745.06 = 7,161.13 : x
  2. Step 2: Convert to fraction form
    11,412.98/15,745.06 = 7,161.13/x
  3. Step 3: Cross multiply
    11,412.98x = 15,745.06 × 7,161.13
  4. Step 4: Simplify right side
    11,412.98x = 112,752,421.52
  5. Step 5: Solve for x
    x = 112,752,421.52/11,412.98
  6. Step 6: Final answer
    x = 9,879.31

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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.