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Finding the Fourth Proportional to 4,843.74, 6,684.02 and 2,719.02

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Solution

The fourth proportional to 4,843.74, 6,684.02 and 2,719.02 is: 3,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.74 : 6,684.02 = 2,719.02 : x
  2. Step 2: Convert to fraction form
    4,843.74/6,684.02 = 2,719.02/x
  3. Step 3: Cross multiply
    4,843.74x = 6,684.02 × 2,719.02
  4. Step 4: Simplify right side
    4,843.74x = 18,173,984.06
  5. Step 5: Solve for x
    x = 18,173,984.06/4,843.74
  6. Step 6: Final answer
    x = 3,752.06

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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.