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Finding the Fourth Proportional to 9,760.44, 13,464.42 and 5,931.03

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Solution

The fourth proportional to 9,760.44, 13,464.42 and 5,931.03 is: 8,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.44 : 13,464.42 = 5,931.03 : x
  2. Step 2: Convert to fraction form
    9,760.44/13,464.42 = 5,931.03/x
  3. Step 3: Cross multiply
    9,760.44x = 13,464.42 × 5,931.03
  4. Step 4: Simplify right side
    9,760.44x = 79,857,878.95
  5. Step 5: Solve for x
    x = 79,857,878.95/9,760.44
  6. Step 6: Final answer
    x = 8,181.79

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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.