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Finding the Fourth Proportional to 6,267.84, 8,649.04 and 3,749.48

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Solution

The fourth proportional to 6,267.84, 8,649.04 and 3,749.48 is: 5,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.84 : 8,649.04 = 3,749.48 : x
  2. Step 2: Convert to fraction form
    6,267.84/8,649.04 = 3,749.48/x
  3. Step 3: Cross multiply
    6,267.84x = 8,649.04 × 3,749.48
  4. Step 4: Simplify right side
    6,267.84x = 32,429,402.50
  5. Step 5: Solve for x
    x = 32,429,402.50/6,267.84
  6. Step 6: Final answer
    x = 5,173.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.