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Finding the Fourth Proportional to 8,461.52, 12,692.30 and 2,305.52

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Solution

The fourth proportional to 8,461.52, 12,692.30 and 2,305.52 is: 3,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.52 : 12,692.30 = 2,305.52 : x
  2. Step 2: Convert to fraction form
    8,461.52/12,692.30 = 2,305.52/x
  3. Step 3: Cross multiply
    8,461.52x = 12,692.30 × 2,305.52
  4. Step 4: Simplify right side
    8,461.52x = 29,262,351.50
  5. Step 5: Solve for x
    x = 29,262,351.50/8,461.52
  6. Step 6: Final answer
    x = 3,458.29

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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.