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Finding the Fourth Proportional to 6,896.66, 10,345.02 and 4,699.94

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Solution

The fourth proportional to 6,896.66, 10,345.02 and 4,699.94 is: 7,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.66 : 10,345.02 = 4,699.94 : x
  2. Step 2: Convert to fraction form
    6,896.66/10,345.02 = 4,699.94/x
  3. Step 3: Cross multiply
    6,896.66x = 10,345.02 × 4,699.94
  4. Step 4: Simplify right side
    6,896.66x = 48,620,973.30
  5. Step 5: Solve for x
    x = 48,620,973.30/6,896.66
  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.