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Finding the Fourth Proportional to 7,141.97, 9,858.51 and 5,813.37

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Solution

The fourth proportional to 7,141.97, 9,858.51 and 5,813.37 is: 8,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.97 : 9,858.51 = 5,813.37 : x
  2. Step 2: Convert to fraction form
    7,141.97/9,858.51 = 5,813.37/x
  3. Step 3: Cross multiply
    7,141.97x = 9,858.51 × 5,813.37
  4. Step 4: Simplify right side
    7,141.97x = 57,311,166.28
  5. Step 5: Solve for x
    x = 57,311,166.28/7,141.97
  6. Step 6: Final answer
    x = 8,024.56

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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.