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Finding the Fourth Proportional to 4,693.82, 6,478.54 and 2,704.74

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Solution

The fourth proportional to 4,693.82, 6,478.54 and 2,704.74 is: 3,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.82 : 6,478.54 = 2,704.74 : x
  2. Step 2: Convert to fraction form
    4,693.82/6,478.54 = 2,704.74/x
  3. Step 3: Cross multiply
    4,693.82x = 6,478.54 × 2,704.74
  4. Step 4: Simplify right side
    4,693.82x = 17,522,766.28
  5. Step 5: Solve for x
    x = 17,522,766.28/4,693.82
  6. Step 6: Final answer
    x = 3,733.16

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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.