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Finding the Fourth Proportional to 6,415.84, 8,846.87 and 4,173.56

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Solution

The fourth proportional to 6,415.84, 8,846.87 and 4,173.56 is: 5,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.84 : 8,846.87 = 4,173.56 : x
  2. Step 2: Convert to fraction form
    6,415.84/8,846.87 = 4,173.56/x
  3. Step 3: Cross multiply
    6,415.84x = 8,846.87 × 4,173.56
  4. Step 4: Simplify right side
    6,415.84x = 36,922,910.83
  5. Step 5: Solve for x
    x = 36,922,910.83/6,415.84
  6. Step 6: Final answer
    x = 5,754.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.