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Finding the Fourth Proportional to 10,753, 16,117.98 and 4,511.44

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Solution

The fourth proportional to 10,753, 16,117.98 and 4,511.44 is: 6,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753 : 16,117.98 = 4,511.44 : x
  2. Step 2: Convert to fraction form
    10,753/16,117.98 = 4,511.44/x
  3. Step 3: Cross multiply
    10,753x = 16,117.98 × 4,511.44
  4. Step 4: Simplify right side
    10,753x = 72,715,299.69
  5. Step 5: Solve for x
    x = 72,715,299.69/10,753
  6. Step 6: Final answer
    x = 6,762.33

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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.