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Finding the Fourth Proportional to 6,410.46, 8,846.04 and 3,577.65

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Solution

The fourth proportional to 6,410.46, 8,846.04 and 3,577.65 is: 4,936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.46 : 8,846.04 = 3,577.65 : x
  2. Step 2: Convert to fraction form
    6,410.46/8,846.04 = 3,577.65/x
  3. Step 3: Cross multiply
    6,410.46x = 8,846.04 × 3,577.65
  4. Step 4: Simplify right side
    6,410.46x = 31,648,035.01
  5. Step 5: Solve for x
    x = 31,648,035.01/6,410.46
  6. Step 6: Final answer
    x = 4,936.94

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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.