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Finding the Fourth Proportional to 6,664.98, 9,197.74 and 3,680.89

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Solution

The fourth proportional to 6,664.98, 9,197.74 and 3,680.89 is: 5,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.98 : 9,197.74 = 3,680.89 : x
  2. Step 2: Convert to fraction form
    6,664.98/9,197.74 = 3,680.89/x
  3. Step 3: Cross multiply
    6,664.98x = 9,197.74 × 3,680.89
  4. Step 4: Simplify right side
    6,664.98x = 33,855,878.39
  5. Step 5: Solve for x
    x = 33,855,878.39/6,664.98
  6. Step 6: Final answer
    x = 5,079.67

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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.