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Finding the Fourth Proportional to 7,097.45, 10,647.47 and 2,935.20

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Solution

The fourth proportional to 7,097.45, 10,647.47 and 2,935.20 is: 4,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.45 : 10,647.47 = 2,935.20 : x
  2. Step 2: Convert to fraction form
    7,097.45/10,647.47 = 2,935.20/x
  3. Step 3: Cross multiply
    7,097.45x = 10,647.47 × 2,935.20
  4. Step 4: Simplify right side
    7,097.45x = 31,252,439.27
  5. Step 5: Solve for x
    x = 31,252,439.27/7,097.45
  6. Step 6: Final answer
    x = 4,403.33

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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.