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Finding the Fourth Proportional to 8,771.24, 12,101.46 and 5,971.88

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Solution

The fourth proportional to 8,771.24, 12,101.46 and 5,971.88 is: 8,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.24 : 12,101.46 = 5,971.88 : x
  2. Step 2: Convert to fraction form
    8,771.24/12,101.46 = 5,971.88/x
  3. Step 3: Cross multiply
    8,771.24x = 12,101.46 × 5,971.88
  4. Step 4: Simplify right side
    8,771.24x = 72,268,466.94
  5. Step 5: Solve for x
    x = 72,268,466.94/8,771.24
  6. Step 6: Final answer
    x = 8,239.25

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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.