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Finding the Fourth Proportional to 12,997.75, 19,484.83 and 6,750.46

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Solution

The fourth proportional to 12,997.75, 19,484.83 and 6,750.46 is: 10,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.75 : 19,484.83 = 6,750.46 : x
  2. Step 2: Convert to fraction form
    12,997.75/19,484.83 = 6,750.46/x
  3. Step 3: Cross multiply
    12,997.75x = 19,484.83 × 6,750.46
  4. Step 4: Simplify right side
    12,997.75x = 131,531,565.52
  5. Step 5: Solve for x
    x = 131,531,565.52/12,997.75
  6. Step 6: Final answer
    x = 10,119.56

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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.