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Finding the Fourth Proportional to 10,797.75, 16,196.63 and 3,006.77

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Solution

The fourth proportional to 10,797.75, 16,196.63 and 3,006.77 is: 4,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.75 : 16,196.63 = 3,006.77 : x
  2. Step 2: Convert to fraction form
    10,797.75/16,196.63 = 3,006.77/x
  3. Step 3: Cross multiply
    10,797.75x = 16,196.63 × 3,006.77
  4. Step 4: Simplify right side
    10,797.75x = 48,699,445.17
  5. Step 5: Solve for x
    x = 48,699,445.17/10,797.75
  6. Step 6: Final answer
    x = 4,510.15

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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.