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Finding the Fourth Proportional to 8,577.98, 11,836.82 and 4,801.22

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Solution

The fourth proportional to 8,577.98, 11,836.82 and 4,801.22 is: 6,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.98 : 11,836.82 = 4,801.22 : x
  2. Step 2: Convert to fraction form
    8,577.98/11,836.82 = 4,801.22/x
  3. Step 3: Cross multiply
    8,577.98x = 11,836.82 × 4,801.22
  4. Step 4: Simplify right side
    8,577.98x = 56,831,129.74
  5. Step 5: Solve for x
    x = 56,831,129.74/8,577.98
  6. Step 6: Final answer
    x = 6,625.24

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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.