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Finding the Fourth Proportional to 7,640, 11,461.44 and 3,536

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Solution

The fourth proportional to 7,640, 11,461.44 and 3,536 is: 5,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640 : 11,461.44 = 3,536 : x
  2. Step 2: Convert to fraction form
    7,640/11,461.44 = 3,536/x
  3. Step 3: Cross multiply
    7,640x = 11,461.44 × 3,536
  4. Step 4: Simplify right side
    7,640x = 40,527,651.84
  5. Step 5: Solve for x
    x = 40,527,651.84/7,640
  6. Step 6: Final answer
    x = 5,304.67

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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.