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Finding the Fourth Proportional to 6,833.66, 10,250.69 and 3,715.16

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Solution

The fourth proportional to 6,833.66, 10,250.69 and 3,715.16 is: 5,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.66 : 10,250.69 = 3,715.16 : x
  2. Step 2: Convert to fraction form
    6,833.66/10,250.69 = 3,715.16/x
  3. Step 3: Cross multiply
    6,833.66x = 10,250.69 × 3,715.16
  4. Step 4: Simplify right side
    6,833.66x = 38,082,883.63
  5. Step 5: Solve for x
    x = 38,082,883.63/6,833.66
  6. Step 6: Final answer
    x = 5,572.84

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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.