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Finding the Fourth Proportional to 6,893.65, 10,340.52 and 4,696.93

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Solution

The fourth proportional to 6,893.65, 10,340.52 and 4,696.93 is: 7,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.65 : 10,340.52 = 4,696.93 : x
  2. Step 2: Convert to fraction form
    6,893.65/10,340.52 = 4,696.93/x
  3. Step 3: Cross multiply
    6,893.65x = 10,340.52 × 4,696.93
  4. Step 4: Simplify right side
    6,893.65x = 48,568,698.60
  5. Step 5: Solve for x
    x = 48,568,698.60/6,893.65
  6. Step 6: Final answer
    x = 7,045.43

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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.