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Finding the Fourth Proportional to 9,771.48, 13,481.10 and 6,236.28

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Solution

The fourth proportional to 9,771.48, 13,481.10 and 6,236.28 is: 8,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.48 : 13,481.10 = 6,236.28 : x
  2. Step 2: Convert to fraction form
    9,771.48/13,481.10 = 6,236.28/x
  3. Step 3: Cross multiply
    9,771.48x = 13,481.10 × 6,236.28
  4. Step 4: Simplify right side
    9,771.48x = 84,071,914.31
  5. Step 5: Solve for x
    x = 84,071,914.31/9,771.48
  6. Step 6: Final answer
    x = 8,603.81

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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.