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Finding the Fourth Proportional to 9,469.84, 14,212.10 and 7,625.47

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Solution

The fourth proportional to 9,469.84, 14,212.10 and 7,625.47 is: 11,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.84 : 14,212.10 = 7,625.47 : x
  2. Step 2: Convert to fraction form
    9,469.84/14,212.10 = 7,625.47/x
  3. Step 3: Cross multiply
    9,469.84x = 14,212.10 × 7,625.47
  4. Step 4: Simplify right side
    9,469.84x = 108,373,942.19
  5. Step 5: Solve for x
    x = 108,373,942.19/9,469.84
  6. Step 6: Final answer
    x = 11,444.12

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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.