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Finding the Fourth Proportional to 7,000.43, 10,497 and 3,301.67

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Solution

The fourth proportional to 7,000.43, 10,497 and 3,301.67 is: 4,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.43 : 10,497 = 3,301.67 : x
  2. Step 2: Convert to fraction form
    7,000.43/10,497 = 3,301.67/x
  3. Step 3: Cross multiply
    7,000.43x = 10,497 × 3,301.67
  4. Step 4: Simplify right side
    7,000.43x = 34,657,629.99
  5. Step 5: Solve for x
    x = 34,657,629.99/7,000.43
  6. Step 6: Final answer
    x = 4,950.79

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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.