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Finding the Fourth Proportional to 9,891.83, 13,650.90 and 6,749.03

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Solution

The fourth proportional to 9,891.83, 13,650.90 and 6,749.03 is: 9,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.83 : 13,650.90 = 6,749.03 : x
  2. Step 2: Convert to fraction form
    9,891.83/13,650.90 = 6,749.03/x
  3. Step 3: Cross multiply
    9,891.83x = 13,650.90 × 6,749.03
  4. Step 4: Simplify right side
    9,891.83x = 92,130,333.63
  5. Step 5: Solve for x
    x = 92,130,333.63/9,891.83
  6. Step 6: Final answer
    x = 9,313.78

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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.