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Finding the Fourth Proportional to 6,649.86, 9,973.98 and 2,267.76

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Solution

The fourth proportional to 6,649.86, 9,973.98 and 2,267.76 is: 3,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.86 : 9,973.98 = 2,267.76 : x
  2. Step 2: Convert to fraction form
    6,649.86/9,973.98 = 2,267.76/x
  3. Step 3: Cross multiply
    6,649.86x = 9,973.98 × 2,267.76
  4. Step 4: Simplify right side
    6,649.86x = 22,618,592.88
  5. Step 5: Solve for x
    x = 22,618,592.88/6,649.86
  6. Step 6: Final answer
    x = 3,401.36

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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.