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Finding the Fourth Proportional to 6,772.75, 10,114.11 and 6,699.44

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Solution

The fourth proportional to 6,772.75, 10,114.11 and 6,699.44 is: 10,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.75 : 10,114.11 = 6,699.44 : x
  2. Step 2: Convert to fraction form
    6,772.75/10,114.11 = 6,699.44/x
  3. Step 3: Cross multiply
    6,772.75x = 10,114.11 × 6,699.44
  4. Step 4: Simplify right side
    6,772.75x = 67,758,898.38
  5. Step 5: Solve for x
    x = 67,758,898.38/6,772.75
  6. Step 6: Final answer
    x = 10,004.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.