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Finding the Fourth Proportional to 6,835.36, 9,431.36 and 4,003

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Solution

The fourth proportional to 6,835.36, 9,431.36 and 4,003 is: 5,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.36 : 9,431.36 = 4,003 : x
  2. Step 2: Convert to fraction form
    6,835.36/9,431.36 = 4,003/x
  3. Step 3: Cross multiply
    6,835.36x = 9,431.36 × 4,003
  4. Step 4: Simplify right side
    6,835.36x = 37,753,734.08
  5. Step 5: Solve for x
    x = 37,753,734.08/6,835.36
  6. Step 6: Final answer
    x = 5,523.30

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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.