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Finding the Fourth Proportional to 4,633.83, 6,917.36 and 4,305.78

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Solution

The fourth proportional to 4,633.83, 6,917.36 and 4,305.78 is: 6,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.83 : 6,917.36 = 4,305.78 : x
  2. Step 2: Convert to fraction form
    4,633.83/6,917.36 = 4,305.78/x
  3. Step 3: Cross multiply
    4,633.83x = 6,917.36 × 4,305.78
  4. Step 4: Simplify right side
    4,633.83x = 29,784,608.81
  5. Step 5: Solve for x
    x = 29,784,608.81/4,633.83
  6. Step 6: Final answer
    x = 6,427.64

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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.