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Finding the Fourth Proportional to 5,109.92, 7,664.88 and 1,647.44

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Solution

The fourth proportional to 5,109.92, 7,664.88 and 1,647.44 is: 2,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.92 : 7,664.88 = 1,647.44 : x
  2. Step 2: Convert to fraction form
    5,109.92/7,664.88 = 1,647.44/x
  3. Step 3: Cross multiply
    5,109.92x = 7,664.88 × 1,647.44
  4. Step 4: Simplify right side
    5,109.92x = 12,627,429.91
  5. Step 5: Solve for x
    x = 12,627,429.91/5,109.92
  6. Step 6: Final answer
    x = 2,471.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.