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Finding the Fourth Proportional to 9,706.03, 14,571.43 and 8,254.44

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Solution

The fourth proportional to 9,706.03, 14,571.43 and 8,254.44 is: 12,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.03 : 14,571.43 = 8,254.44 : x
  2. Step 2: Convert to fraction form
    9,706.03/14,571.43 = 8,254.44/x
  3. Step 3: Cross multiply
    9,706.03x = 14,571.43 × 8,254.44
  4. Step 4: Simplify right side
    9,706.03x = 120,278,974.01
  5. Step 5: Solve for x
    x = 120,278,974.01/9,706.03
  6. Step 6: Final answer
    x = 12,392.19

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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.