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Finding the Fourth Proportional to 6,896.65, 10,345.02 and 4,699.93

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Solution

The fourth proportional to 6,896.65, 10,345.02 and 4,699.93 is: 7,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.65 : 10,345.02 = 4,699.93 : x
  2. Step 2: Convert to fraction form
    6,896.65/10,345.02 = 4,699.93/x
  3. Step 3: Cross multiply
    6,896.65x = 10,345.02 × 4,699.93
  4. Step 4: Simplify right side
    6,896.65x = 48,620,869.85
  5. Step 5: Solve for x
    x = 48,620,869.85/6,896.65
  6. Step 6: Final answer
    x = 7,049.93

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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.