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Finding the Fourth Proportional to 4,743.68, 6,546.48 and 2,754.68

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Solution

The fourth proportional to 4,743.68, 6,546.48 and 2,754.68 is: 3,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.68 : 6,546.48 = 2,754.68 : x
  2. Step 2: Convert to fraction form
    4,743.68/6,546.48 = 2,754.68/x
  3. Step 3: Cross multiply
    4,743.68x = 6,546.48 × 2,754.68
  4. Step 4: Simplify right side
    4,743.68x = 18,033,457.53
  5. Step 5: Solve for x
    x = 18,033,457.53/4,743.68
  6. Step 6: Final answer
    x = 3,801.58

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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.