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Finding the Fourth Proportional to 4,957.60, 7,379.76 and 4,883.76

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Solution

The fourth proportional to 4,957.60, 7,379.76 and 4,883.76 is: 7,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.60 : 7,379.76 = 4,883.76 : x
  2. Step 2: Convert to fraction form
    4,957.60/7,379.76 = 4,883.76/x
  3. Step 3: Cross multiply
    4,957.60x = 7,379.76 × 4,883.76
  4. Step 4: Simplify right side
    4,957.60x = 36,040,976.70
  5. Step 5: Solve for x
    x = 36,040,976.70/4,957.60
  6. Step 6: Final answer
    x = 7,269.84

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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.