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Finding the Fourth Proportional to 4,773.56, 7,160.48 and 1,310.81

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Solution

The fourth proportional to 4,773.56, 7,160.48 and 1,310.81 is: 1,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.56 : 7,160.48 = 1,310.81 : x
  2. Step 2: Convert to fraction form
    4,773.56/7,160.48 = 1,310.81/x
  3. Step 3: Cross multiply
    4,773.56x = 7,160.48 × 1,310.81
  4. Step 4: Simplify right side
    4,773.56x = 9,386,049.97
  5. Step 5: Solve for x
    x = 9,386,049.97/4,773.56
  6. Step 6: Final answer
    x = 1,966.26

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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.