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Finding the Fourth Proportional to 6,913.20, 10,369.80 and 2,530.80

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Solution

The fourth proportional to 6,913.20, 10,369.80 and 2,530.80 is: 3,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.20 : 10,369.80 = 2,530.80 : x
  2. Step 2: Convert to fraction form
    6,913.20/10,369.80 = 2,530.80/x
  3. Step 3: Cross multiply
    6,913.20x = 10,369.80 × 2,530.80
  4. Step 4: Simplify right side
    6,913.20x = 26,243,889.84
  5. Step 5: Solve for x
    x = 26,243,889.84/6,913.20
  6. Step 6: Final answer
    x = 3,796.20

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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.