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Finding the Fourth Proportional to 8,255.50, 12,384.87 and 2,709.16

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Solution

The fourth proportional to 8,255.50, 12,384.87 and 2,709.16 is: 4,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.50 : 12,384.87 = 2,709.16 : x
  2. Step 2: Convert to fraction form
    8,255.50/12,384.87 = 2,709.16/x
  3. Step 3: Cross multiply
    8,255.50x = 12,384.87 × 2,709.16
  4. Step 4: Simplify right side
    8,255.50x = 33,552,594.41
  5. Step 5: Solve for x
    x = 33,552,594.41/8,255.50
  6. Step 6: Final answer
    x = 4,064.27

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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.