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Finding the Fourth Proportional to 6,456.76, 8,912.26 and 4,214.68

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Solution

The fourth proportional to 6,456.76, 8,912.26 and 4,214.68 is: 5,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.76 : 8,912.26 = 4,214.68 : x
  2. Step 2: Convert to fraction form
    6,456.76/8,912.26 = 4,214.68/x
  3. Step 3: Cross multiply
    6,456.76x = 8,912.26 × 4,214.68
  4. Step 4: Simplify right side
    6,456.76x = 37,562,323.98
  5. Step 5: Solve for x
    x = 37,562,323.98/6,456.76
  6. Step 6: Final answer
    x = 5,817.52

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Half scale
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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.