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Finding the Fourth Proportional to 6,347.44, 9,523.44 and 2,837.15

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Solution

The fourth proportional to 6,347.44, 9,523.44 and 2,837.15 is: 4,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.44 : 9,523.44 = 2,837.15 : x
  2. Step 2: Convert to fraction form
    6,347.44/9,523.44 = 2,837.15/x
  3. Step 3: Cross multiply
    6,347.44x = 9,523.44 × 2,837.15
  4. Step 4: Simplify right side
    6,347.44x = 27,019,427.80
  5. Step 5: Solve for x
    x = 27,019,427.80/6,347.44
  6. Step 6: Final answer
    x = 4,256.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.