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Finding the Fourth Proportional to 6,698.35, 9,245.06 and 3,867.58

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Solution

The fourth proportional to 6,698.35, 9,245.06 and 3,867.58 is: 5,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.35 : 9,245.06 = 3,867.58 : x
  2. Step 2: Convert to fraction form
    6,698.35/9,245.06 = 3,867.58/x
  3. Step 3: Cross multiply
    6,698.35x = 9,245.06 × 3,867.58
  4. Step 4: Simplify right side
    6,698.35x = 35,756,009.15
  5. Step 5: Solve for x
    x = 35,756,009.15/6,698.35
  6. Step 6: Final answer
    x = 5,338.03

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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.