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Finding the Fourth Proportional to 15,947.09, 22,006.99 and 9,233.07

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Solution

The fourth proportional to 15,947.09, 22,006.99 and 9,233.07 is: 12,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.09 : 22,006.99 = 9,233.07 : x
  2. Step 2: Convert to fraction form
    15,947.09/22,006.99 = 9,233.07/x
  3. Step 3: Cross multiply
    15,947.09x = 22,006.99 × 9,233.07
  4. Step 4: Simplify right side
    15,947.09x = 203,192,131.96
  5. Step 5: Solve for x
    x = 203,192,131.96/15,947.09
  6. Step 6: Final answer
    x = 12,741.64

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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.