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Finding the Fourth Proportional to 8,059.76, 12,086.10 and 3,312.66

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Solution

The fourth proportional to 8,059.76, 12,086.10 and 3,312.66 is: 4,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.76 : 12,086.10 = 3,312.66 : x
  2. Step 2: Convert to fraction form
    8,059.76/12,086.10 = 3,312.66/x
  3. Step 3: Cross multiply
    8,059.76x = 12,086.10 × 3,312.66
  4. Step 4: Simplify right side
    8,059.76x = 40,037,140.03
  5. Step 5: Solve for x
    x = 40,037,140.03/8,059.76
  6. Step 6: Final answer
    x = 4,967.54

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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.