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Finding the Fourth Proportional to 8,564.58, 11,822.22 and 5,543.82

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Solution

The fourth proportional to 8,564.58, 11,822.22 and 5,543.82 is: 7,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.58 : 11,822.22 = 5,543.82 : x
  2. Step 2: Convert to fraction form
    8,564.58/11,822.22 = 5,543.82/x
  3. Step 3: Cross multiply
    8,564.58x = 11,822.22 × 5,543.82
  4. Step 4: Simplify right side
    8,564.58x = 65,540,259.68
  5. Step 5: Solve for x
    x = 65,540,259.68/8,564.58
  6. Step 6: Final answer
    x = 7,652.48

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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.