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Finding the Fourth Proportional to 9,961.04, 13,745.76 and 5,770.64

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Solution

The fourth proportional to 9,961.04, 13,745.76 and 5,770.64 is: 7,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.04 : 13,745.76 = 5,770.64 : x
  2. Step 2: Convert to fraction form
    9,961.04/13,745.76 = 5,770.64/x
  3. Step 3: Cross multiply
    9,961.04x = 13,745.76 × 5,770.64
  4. Step 4: Simplify right side
    9,961.04x = 79,321,832.49
  5. Step 5: Solve for x
    x = 79,321,832.49/9,961.04
  6. Step 6: Final answer
    x = 7,963.21

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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.