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Finding the Fourth Proportional to 8,451.48, 12,670.74 and 8,035.14

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Solution

The fourth proportional to 8,451.48, 12,670.74 and 8,035.14 is: 12,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.48 : 12,670.74 = 8,035.14 : x
  2. Step 2: Convert to fraction form
    8,451.48/12,670.74 = 8,035.14/x
  3. Step 3: Cross multiply
    8,451.48x = 12,670.74 × 8,035.14
  4. Step 4: Simplify right side
    8,451.48x = 101,811,169.80
  5. Step 5: Solve for x
    x = 101,811,169.80/8,451.48
  6. Step 6: Final answer
    x = 12,046.55

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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.