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Finding the Fourth Proportional to 11,309.70, 16,952.22 and 9,661.26

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Solution

The fourth proportional to 11,309.70, 16,952.22 and 9,661.26 is: 14,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.70 : 16,952.22 = 9,661.26 : x
  2. Step 2: Convert to fraction form
    11,309.70/16,952.22 = 9,661.26/x
  3. Step 3: Cross multiply
    11,309.70x = 16,952.22 × 9,661.26
  4. Step 4: Simplify right side
    11,309.70x = 163,779,805.00
  5. Step 5: Solve for x
    x = 163,779,805.00/11,309.70
  6. Step 6: Final answer
    x = 14,481.36

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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.