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Finding the Fourth Proportional to 6,556.77, 9,832.13 and 2,113.64

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Solution

The fourth proportional to 6,556.77, 9,832.13 and 2,113.64 is: 3,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.77 : 9,832.13 = 2,113.64 : x
  2. Step 2: Convert to fraction form
    6,556.77/9,832.13 = 2,113.64/x
  3. Step 3: Cross multiply
    6,556.77x = 9,832.13 × 2,113.64
  4. Step 4: Simplify right side
    6,556.77x = 20,781,568.32
  5. Step 5: Solve for x
    x = 20,781,568.32/6,556.77
  6. Step 6: Final answer
    x = 3,169.48

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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.