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Finding the Fourth Proportional to 6,683.65, 9,223.13 and 3,699.27

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Solution

The fourth proportional to 6,683.65, 9,223.13 and 3,699.27 is: 5,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.65 : 9,223.13 = 3,699.27 : x
  2. Step 2: Convert to fraction form
    6,683.65/9,223.13 = 3,699.27/x
  3. Step 3: Cross multiply
    6,683.65x = 9,223.13 × 3,699.27
  4. Step 4: Simplify right side
    6,683.65x = 34,118,857.36
  5. Step 5: Solve for x
    x = 34,118,857.36/6,683.65
  6. Step 6: Final answer
    x = 5,104.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.