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Finding the Fourth Proportional to 6,715.96, 10,073.14 and 1,785.96

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Solution

The fourth proportional to 6,715.96, 10,073.14 and 1,785.96 is: 2,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.96 : 10,073.14 = 1,785.96 : x
  2. Step 2: Convert to fraction form
    6,715.96/10,073.14 = 1,785.96/x
  3. Step 3: Cross multiply
    6,715.96x = 10,073.14 × 1,785.96
  4. Step 4: Simplify right side
    6,715.96x = 17,990,225.11
  5. Step 5: Solve for x
    x = 17,990,225.11/6,715.96
  6. Step 6: Final answer
    x = 2,678.73

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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.