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Finding the Fourth Proportional to 10,973.92, 16,451.16 and 8,197.24

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Solution

The fourth proportional to 10,973.92, 16,451.16 and 8,197.24 is: 12,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.92 : 16,451.16 = 8,197.24 : x
  2. Step 2: Convert to fraction form
    10,973.92/16,451.16 = 8,197.24/x
  3. Step 3: Cross multiply
    10,973.92x = 16,451.16 × 8,197.24
  4. Step 4: Simplify right side
    10,973.92x = 134,854,106.80
  5. Step 5: Solve for x
    x = 134,854,106.80/10,973.92
  6. Step 6: Final answer
    x = 12,288.60

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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.