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Finding the Fourth Proportional to 8,097, 11,172.66 and 4,560.12

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Solution

The fourth proportional to 8,097, 11,172.66 and 4,560.12 is: 6,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097 : 11,172.66 = 4,560.12 : x
  2. Step 2: Convert to fraction form
    8,097/11,172.66 = 4,560.12/x
  3. Step 3: Cross multiply
    8,097x = 11,172.66 × 4,560.12
  4. Step 4: Simplify right side
    8,097x = 50,948,670.32
  5. Step 5: Solve for x
    x = 50,948,670.32/8,097
  6. Step 6: Final answer
    x = 6,292.29

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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.