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Finding the Fourth Proportional to 7,295.31, 10,946.48 and 2,912.67

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Solution

The fourth proportional to 7,295.31, 10,946.48 and 2,912.67 is: 4,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.31 : 10,946.48 = 2,912.67 : x
  2. Step 2: Convert to fraction form
    7,295.31/10,946.48 = 2,912.67/x
  3. Step 3: Cross multiply
    7,295.31x = 10,946.48 × 2,912.67
  4. Step 4: Simplify right side
    7,295.31x = 31,883,469.34
  5. Step 5: Solve for x
    x = 31,883,469.34/7,295.31
  6. Step 6: Final answer
    x = 4,370.41

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1.5x scale

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.