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Finding the Fourth Proportional to 6,913.29, 10,368.10 and 2,530.78

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Solution

The fourth proportional to 6,913.29, 10,368.10 and 2,530.78 is: 3,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.29 : 10,368.10 = 2,530.78 : x
  2. Step 2: Convert to fraction form
    6,913.29/10,368.10 = 2,530.78/x
  3. Step 3: Cross multiply
    6,913.29x = 10,368.10 × 2,530.78
  4. Step 4: Simplify right side
    6,913.29x = 26,239,380.12
  5. Step 5: Solve for x
    x = 26,239,380.12/6,913.29
  6. Step 6: Final answer
    x = 3,795.50

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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.