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Finding the Fourth Proportional to 6,456.90, 8,911.26 and 3,804.26

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Solution

The fourth proportional to 6,456.90, 8,911.26 and 3,804.26 is: 5,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.90 : 8,911.26 = 3,804.26 : x
  2. Step 2: Convert to fraction form
    6,456.90/8,911.26 = 3,804.26/x
  3. Step 3: Cross multiply
    6,456.90x = 8,911.26 × 3,804.26
  4. Step 4: Simplify right side
    6,456.90x = 33,900,749.97
  5. Step 5: Solve for x
    x = 33,900,749.97/6,456.90
  6. Step 6: Final answer
    x = 5,250.31

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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.