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Finding the Fourth Proportional to 8,096.75, 11,174.58 and 4,560.65

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Solution

The fourth proportional to 8,096.75, 11,174.58 and 4,560.65 is: 6,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.75 : 11,174.58 = 4,560.65 : x
  2. Step 2: Convert to fraction form
    8,096.75/11,174.58 = 4,560.65/x
  3. Step 3: Cross multiply
    8,096.75x = 11,174.58 × 4,560.65
  4. Step 4: Simplify right side
    8,096.75x = 50,963,292.40
  5. Step 5: Solve for x
    x = 50,963,292.40/8,096.75
  6. Step 6: Final answer
    x = 6,294.29

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Half scale
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Double scale
Find fourth proportional to 8,097.75, 11,175.96 and 4,561.65
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.