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Finding the Fourth Proportional to 4,803.92, 6,640.68 and 4,759.76

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Solution

The fourth proportional to 4,803.92, 6,640.68 and 4,759.76 is: 6,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.92 : 6,640.68 = 4,759.76 : x
  2. Step 2: Convert to fraction form
    4,803.92/6,640.68 = 4,759.76/x
  3. Step 3: Cross multiply
    4,803.92x = 6,640.68 × 4,759.76
  4. Step 4: Simplify right side
    4,803.92x = 31,608,043.04
  5. Step 5: Solve for x
    x = 31,608,043.04/4,803.92
  6. Step 6: Final answer
    x = 6,579.64

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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.