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Finding the Fourth Proportional to 8,384.61, 12,578.86 and 2,461.26

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Solution

The fourth proportional to 8,384.61, 12,578.86 and 2,461.26 is: 3,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.61 : 12,578.86 = 2,461.26 : x
  2. Step 2: Convert to fraction form
    8,384.61/12,578.86 = 2,461.26/x
  3. Step 3: Cross multiply
    8,384.61x = 12,578.86 × 2,461.26
  4. Step 4: Simplify right side
    8,384.61x = 30,959,844.96
  5. Step 5: Solve for x
    x = 30,959,844.96/8,384.61
  6. Step 6: Final answer
    x = 3,692.46

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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.