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Finding the Fourth Proportional to 9,519.76, 14,257.74 and 6,228.31

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Solution

The fourth proportional to 9,519.76, 14,257.74 and 6,228.31 is: 9,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.76 : 14,257.74 = 6,228.31 : x
  2. Step 2: Convert to fraction form
    9,519.76/14,257.74 = 6,228.31/x
  3. Step 3: Cross multiply
    9,519.76x = 14,257.74 × 6,228.31
  4. Step 4: Simplify right side
    9,519.76x = 88,801,624.62
  5. Step 5: Solve for x
    x = 88,801,624.62/9,519.76
  6. Step 6: Final answer
    x = 9,328.14

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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.