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Finding the Fourth Proportional to 7,002.25, 9,663.14 and 3,858.37

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Solution

The fourth proportional to 7,002.25, 9,663.14 and 3,858.37 is: 5,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.25 : 9,663.14 = 3,858.37 : x
  2. Step 2: Convert to fraction form
    7,002.25/9,663.14 = 3,858.37/x
  3. Step 3: Cross multiply
    7,002.25x = 9,663.14 × 3,858.37
  4. Step 4: Simplify right side
    7,002.25x = 37,283,969.48
  5. Step 5: Solve for x
    x = 37,283,969.48/7,002.25
  6. Step 6: Final answer
    x = 5,324.57

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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.