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Finding the Fourth Proportional to 4,766.24, 7,116.76 and 4,269.44

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Solution

The fourth proportional to 4,766.24, 7,116.76 and 4,269.44 is: 6,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.24 : 7,116.76 = 4,269.44 : x
  2. Step 2: Convert to fraction form
    4,766.24/7,116.76 = 4,269.44/x
  3. Step 3: Cross multiply
    4,766.24x = 7,116.76 × 4,269.44
  4. Step 4: Simplify right side
    4,766.24x = 30,384,579.81
  5. Step 5: Solve for x
    x = 30,384,579.81/4,766.24
  6. Step 6: Final answer
    x = 6,374.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.