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Finding the Fourth Proportional to 7,201.12, 10,795.09 and 6,097.64

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Solution

The fourth proportional to 7,201.12, 10,795.09 and 6,097.64 is: 9,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.12 : 10,795.09 = 6,097.64 : x
  2. Step 2: Convert to fraction form
    7,201.12/10,795.09 = 6,097.64/x
  3. Step 3: Cross multiply
    7,201.12x = 10,795.09 × 6,097.64
  4. Step 4: Simplify right side
    7,201.12x = 65,824,488.12
  5. Step 5: Solve for x
    x = 65,824,488.12/7,201.12
  6. Step 6: Final answer
    x = 9,140.87

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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.