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Finding the Fourth Proportional to 7,097.99, 10,648.53 and 2,168.01

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Solution

The fourth proportional to 7,097.99, 10,648.53 and 2,168.01 is: 3,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.99 : 10,648.53 = 2,168.01 : x
  2. Step 2: Convert to fraction form
    7,097.99/10,648.53 = 2,168.01/x
  3. Step 3: Cross multiply
    7,097.99x = 10,648.53 × 2,168.01
  4. Step 4: Simplify right side
    7,097.99x = 23,086,119.53
  5. Step 5: Solve for x
    x = 23,086,119.53/7,097.99
  6. Step 6: Final answer
    x = 3,252.49

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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.