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Finding the Fourth Proportional to 11,584.03, 15,991.47 and 7,762.26

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Solution

The fourth proportional to 11,584.03, 15,991.47 and 7,762.26 is: 10,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.03 : 15,991.47 = 7,762.26 : x
  2. Step 2: Convert to fraction form
    11,584.03/15,991.47 = 7,762.26/x
  3. Step 3: Cross multiply
    11,584.03x = 15,991.47 × 7,762.26
  4. Step 4: Simplify right side
    11,584.03x = 124,129,947.92
  5. Step 5: Solve for x
    x = 124,129,947.92/11,584.03
  6. Step 6: Final answer
    x = 10,715.61

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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.