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Finding the Fourth Proportional to 11,809.72, 17,703.06 and 5,237.56

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Solution

The fourth proportional to 11,809.72, 17,703.06 and 5,237.56 is: 7,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.72 : 17,703.06 = 5,237.56 : x
  2. Step 2: Convert to fraction form
    11,809.72/17,703.06 = 5,237.56/x
  3. Step 3: Cross multiply
    11,809.72x = 17,703.06 × 5,237.56
  4. Step 4: Simplify right side
    11,809.72x = 92,720,838.93
  5. Step 5: Solve for x
    x = 92,720,838.93/11,809.72
  6. Step 6: Final answer
    x = 7,851.23

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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.