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Finding the Fourth Proportional to 9,261.96, 12,770.10 and 6,773.64

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Solution

The fourth proportional to 9,261.96, 12,770.10 and 6,773.64 is: 9,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.96 : 12,770.10 = 6,773.64 : x
  2. Step 2: Convert to fraction form
    9,261.96/12,770.10 = 6,773.64/x
  3. Step 3: Cross multiply
    9,261.96x = 12,770.10 × 6,773.64
  4. Step 4: Simplify right side
    9,261.96x = 86,500,060.16
  5. Step 5: Solve for x
    x = 86,500,060.16/9,261.96
  6. Step 6: Final answer
    x = 9,339.28

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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.