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Finding the Fourth Proportional to 6,349.22, 8,762.99 and 3,698.20

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Solution

The fourth proportional to 6,349.22, 8,762.99 and 3,698.20 is: 5,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.22 : 8,762.99 = 3,698.20 : x
  2. Step 2: Convert to fraction form
    6,349.22/8,762.99 = 3,698.20/x
  3. Step 3: Cross multiply
    6,349.22x = 8,762.99 × 3,698.20
  4. Step 4: Simplify right side
    6,349.22x = 32,407,249.22
  5. Step 5: Solve for x
    x = 32,407,249.22/6,349.22
  6. Step 6: Final answer
    x = 5,104.13

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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.