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Finding the Fourth Proportional to 6,166.81, 8,509.89 and 3,649.67

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Solution

The fourth proportional to 6,166.81, 8,509.89 and 3,649.67 is: 5,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.81 : 8,509.89 = 3,649.67 : x
  2. Step 2: Convert to fraction form
    6,166.81/8,509.89 = 3,649.67/x
  3. Step 3: Cross multiply
    6,166.81x = 8,509.89 × 3,649.67
  4. Step 4: Simplify right side
    6,166.81x = 31,058,290.24
  5. Step 5: Solve for x
    x = 31,058,290.24/6,166.81
  6. Step 6: Final answer
    x = 5,036.36

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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.