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Finding the Fourth Proportional to 7,397, 11,090.03 and 4,474.66

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Solution

The fourth proportional to 7,397, 11,090.03 and 4,474.66 is: 6,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397 : 11,090.03 = 4,474.66 : x
  2. Step 2: Convert to fraction form
    7,397/11,090.03 = 4,474.66/x
  3. Step 3: Cross multiply
    7,397x = 11,090.03 × 4,474.66
  4. Step 4: Simplify right side
    7,397x = 49,624,035.82
  5. Step 5: Solve for x
    x = 49,624,035.82/7,397
  6. Step 6: Final answer
    x = 6,708.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.