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Finding the Fourth Proportional to 8,002.94, 12,008.64 and 5,677.97

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Solution

The fourth proportional to 8,002.94, 12,008.64 and 5,677.97 is: 8,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.94 : 12,008.64 = 5,677.97 : x
  2. Step 2: Convert to fraction form
    8,002.94/12,008.64 = 5,677.97/x
  3. Step 3: Cross multiply
    8,002.94x = 12,008.64 × 5,677.97
  4. Step 4: Simplify right side
    8,002.94x = 68,184,697.66
  5. Step 5: Solve for x
    x = 68,184,697.66/8,002.94
  6. Step 6: Final answer
    x = 8,519.96

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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.