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Finding the Fourth Proportional to 10,797.12, 16,193.52 and 3,006.48

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Solution

The fourth proportional to 10,797.12, 16,193.52 and 3,006.48 is: 4,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.12 : 16,193.52 = 3,006.48 : x
  2. Step 2: Convert to fraction form
    10,797.12/16,193.52 = 3,006.48/x
  3. Step 3: Cross multiply
    10,797.12x = 16,193.52 × 3,006.48
  4. Step 4: Simplify right side
    10,797.12x = 48,685,494.01
  5. Step 5: Solve for x
    x = 48,685,494.01/10,797.12
  6. Step 6: Final answer
    x = 4,509.12

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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.