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Finding the Fourth Proportional to 8,525.09, 11,769.22 and 5,980.64

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Solution

The fourth proportional to 8,525.09, 11,769.22 and 5,980.64 is: 8,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.09 : 11,769.22 = 5,980.64 : x
  2. Step 2: Convert to fraction form
    8,525.09/11,769.22 = 5,980.64/x
  3. Step 3: Cross multiply
    8,525.09x = 11,769.22 × 5,980.64
  4. Step 4: Simplify right side
    8,525.09x = 70,387,467.90
  5. Step 5: Solve for x
    x = 70,387,467.90/8,525.09
  6. Step 6: Final answer
    x = 8,256.51

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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.