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Finding the Fourth Proportional to 8,003.76, 12,006.46 and 4,494.84

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Solution

The fourth proportional to 8,003.76, 12,006.46 and 4,494.84 is: 6,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.76 : 12,006.46 = 4,494.84 : x
  2. Step 2: Convert to fraction form
    8,003.76/12,006.46 = 4,494.84/x
  3. Step 3: Cross multiply
    8,003.76x = 12,006.46 × 4,494.84
  4. Step 4: Simplify right side
    8,003.76x = 53,967,116.67
  5. Step 5: Solve for x
    x = 53,967,116.67/8,003.76
  6. Step 6: Final answer
    x = 6,742.72

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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.