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Finding the Fourth Proportional to 9,581.44, 14,353.38 and 6,284.44

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Solution

The fourth proportional to 9,581.44, 14,353.38 and 6,284.44 is: 9,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.44 : 14,353.38 = 6,284.44 : x
  2. Step 2: Convert to fraction form
    9,581.44/14,353.38 = 6,284.44/x
  3. Step 3: Cross multiply
    9,581.44x = 14,353.38 × 6,284.44
  4. Step 4: Simplify right side
    9,581.44x = 90,202,955.41
  5. Step 5: Solve for x
    x = 90,202,955.41/9,581.44
  6. Step 6: Final answer
    x = 9,414.34

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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.