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Finding the Fourth Proportional to 4,963.98, 7,447.32 and 1,845.66

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Solution

The fourth proportional to 4,963.98, 7,447.32 and 1,845.66 is: 2,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.98 : 7,447.32 = 1,845.66 : x
  2. Step 2: Convert to fraction form
    4,963.98/7,447.32 = 1,845.66/x
  3. Step 3: Cross multiply
    4,963.98x = 7,447.32 × 1,845.66
  4. Step 4: Simplify right side
    4,963.98x = 13,745,220.63
  5. Step 5: Solve for x
    x = 13,745,220.63/4,963.98
  6. Step 6: Final answer
    x = 2,768.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.