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Finding the Fourth Proportional to 6,892.56, 10,332.64 and 2,506.94

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Solution

The fourth proportional to 6,892.56, 10,332.64 and 2,506.94 is: 3,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.56 : 10,332.64 = 2,506.94 : x
  2. Step 2: Convert to fraction form
    6,892.56/10,332.64 = 2,506.94/x
  3. Step 3: Cross multiply
    6,892.56x = 10,332.64 × 2,506.94
  4. Step 4: Simplify right side
    6,892.56x = 25,903,308.52
  5. Step 5: Solve for x
    x = 25,903,308.52/6,892.56
  6. Step 6: Final answer
    x = 3,758.15

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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.