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Finding the Fourth Proportional to 7,650.84, 10,564.41 and 6,234.78

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Solution

The fourth proportional to 7,650.84, 10,564.41 and 6,234.78 is: 8,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.84 : 10,564.41 = 6,234.78 : x
  2. Step 2: Convert to fraction form
    7,650.84/10,564.41 = 6,234.78/x
  3. Step 3: Cross multiply
    7,650.84x = 10,564.41 × 6,234.78
  4. Step 4: Simplify right side
    7,650.84x = 65,866,772.18
  5. Step 5: Solve for x
    x = 65,866,772.18/7,650.84
  6. Step 6: Final answer
    x = 8,609.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.