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Finding the Fourth Proportional to 7,651.98, 11,475.54 and 2,971.67

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Solution

The fourth proportional to 7,651.98, 11,475.54 and 2,971.67 is: 4,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.98 : 11,475.54 = 2,971.67 : x
  2. Step 2: Convert to fraction form
    7,651.98/11,475.54 = 2,971.67/x
  3. Step 3: Cross multiply
    7,651.98x = 11,475.54 × 2,971.67
  4. Step 4: Simplify right side
    7,651.98x = 34,101,460.57
  5. Step 5: Solve for x
    x = 34,101,460.57/7,651.98
  6. Step 6: Final answer
    x = 4,456.55

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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.