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Finding the Fourth Proportional to 11,556.25, 15,947.63 and 7,366.93

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Solution

The fourth proportional to 11,556.25, 15,947.63 and 7,366.93 is: 10,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.25 : 15,947.63 = 7,366.93 : x
  2. Step 2: Convert to fraction form
    11,556.25/15,947.63 = 7,366.93/x
  3. Step 3: Cross multiply
    11,556.25x = 15,947.63 × 7,366.93
  4. Step 4: Simplify right side
    11,556.25x = 117,485,073.88
  5. Step 5: Solve for x
    x = 117,485,073.88/11,556.25
  6. Step 6: Final answer
    x = 10,166.37

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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.