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Finding the Fourth Proportional to 6,700.30, 9,243.75 and 3,866.38

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Solution

The fourth proportional to 6,700.30, 9,243.75 and 3,866.38 is: 5,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.30 : 9,243.75 = 3,866.38 : x
  2. Step 2: Convert to fraction form
    6,700.30/9,243.75 = 3,866.38/x
  3. Step 3: Cross multiply
    6,700.30x = 9,243.75 × 3,866.38
  4. Step 4: Simplify right side
    6,700.30x = 35,739,850.13
  5. Step 5: Solve for x
    x = 35,739,850.13/6,700.30
  6. Step 6: Final answer
    x = 5,334.07

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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.