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Finding the Fourth Proportional to 8,097.66, 12,144.75 and 3,415.86

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Solution

The fourth proportional to 8,097.66, 12,144.75 and 3,415.86 is: 5,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.66 : 12,144.75 = 3,415.86 : x
  2. Step 2: Convert to fraction form
    8,097.66/12,144.75 = 3,415.86/x
  3. Step 3: Cross multiply
    8,097.66x = 12,144.75 × 3,415.86
  4. Step 4: Simplify right side
    8,097.66x = 41,484,765.74
  5. Step 5: Solve for x
    x = 41,484,765.74/8,097.66
  6. Step 6: Final answer
    x = 5,123.06

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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.