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Finding the Fourth Proportional to 10,762.92, 16,162.92 and 6,407.76

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Solution

The fourth proportional to 10,762.92, 16,162.92 and 6,407.76 is: 9,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.92 : 16,162.92 = 6,407.76 : x
  2. Step 2: Convert to fraction form
    10,762.92/16,162.92 = 6,407.76/x
  3. Step 3: Cross multiply
    10,762.92x = 16,162.92 × 6,407.76
  4. Step 4: Simplify right side
    10,762.92x = 103,568,112.26
  5. Step 5: Solve for x
    x = 103,568,112.26/10,762.92
  6. Step 6: Final answer
    x = 9,622.68

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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.