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Finding the Fourth Proportional to 6,858.54, 9,458.37 and 4,496.58

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Solution

The fourth proportional to 6,858.54, 9,458.37 and 4,496.58 is: 6,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.54 : 9,458.37 = 4,496.58 : x
  2. Step 2: Convert to fraction form
    6,858.54/9,458.37 = 4,496.58/x
  3. Step 3: Cross multiply
    6,858.54x = 9,458.37 × 4,496.58
  4. Step 4: Simplify right side
    6,858.54x = 42,530,317.37
  5. Step 5: Solve for x
    x = 42,530,317.37/6,858.54
  6. Step 6: Final answer
    x = 6,201.07

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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.