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Finding the Fourth Proportional to 4,773.25, 7,160.28 and 1,310.50

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Solution

The fourth proportional to 4,773.25, 7,160.28 and 1,310.50 is: 1,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.25 : 7,160.28 = 1,310.50 : x
  2. Step 2: Convert to fraction form
    4,773.25/7,160.28 = 1,310.50/x
  3. Step 3: Cross multiply
    4,773.25x = 7,160.28 × 1,310.50
  4. Step 4: Simplify right side
    4,773.25x = 9,383,546.94
  5. Step 5: Solve for x
    x = 9,383,546.94/4,773.25
  6. Step 6: Final answer
    x = 1,965.86

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Double scale
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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.