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Finding the Fourth Proportional to 9,508.25, 14,264.25 and 3,266.74

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Solution

The fourth proportional to 9,508.25, 14,264.25 and 3,266.74 is: 4,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.25 : 14,264.25 = 3,266.74 : x
  2. Step 2: Convert to fraction form
    9,508.25/14,264.25 = 3,266.74/x
  3. Step 3: Cross multiply
    9,508.25x = 14,264.25 × 3,266.74
  4. Step 4: Simplify right side
    9,508.25x = 46,597,596.05
  5. Step 5: Solve for x
    x = 46,597,596.05/9,508.25
  6. Step 6: Final answer
    x = 4,900.75

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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.