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Finding the Fourth Proportional to 4,612.46, 6,873.97 and 4,464.86

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Solution

The fourth proportional to 4,612.46, 6,873.97 and 4,464.86 is: 6,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.46 : 6,873.97 = 4,464.86 : x
  2. Step 2: Convert to fraction form
    4,612.46/6,873.97 = 4,464.86/x
  3. Step 3: Cross multiply
    4,612.46x = 6,873.97 × 4,464.86
  4. Step 4: Simplify right side
    4,612.46x = 30,691,313.69
  5. Step 5: Solve for x
    x = 30,691,313.69/4,612.46
  6. Step 6: Final answer
    x = 6,654.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.