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Finding the Fourth Proportional to 7,010.26, 9,674.20 and 3,866.38

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Solution

The fourth proportional to 7,010.26, 9,674.20 and 3,866.38 is: 5,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.26 : 9,674.20 = 3,866.38 : x
  2. Step 2: Convert to fraction form
    7,010.26/9,674.20 = 3,866.38/x
  3. Step 3: Cross multiply
    7,010.26x = 9,674.20 × 3,866.38
  4. Step 4: Simplify right side
    7,010.26x = 37,404,133.40
  5. Step 5: Solve for x
    x = 37,404,133.40/7,010.26
  6. Step 6: Final answer
    x = 5,335.63

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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.