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Finding the Fourth Proportional to 7,970.01, 11,954.91 and 3,584.37

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Solution

The fourth proportional to 7,970.01, 11,954.91 and 3,584.37 is: 5,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.01 : 11,954.91 = 3,584.37 : x
  2. Step 2: Convert to fraction form
    7,970.01/11,954.91 = 3,584.37/x
  3. Step 3: Cross multiply
    7,970.01x = 11,954.91 × 3,584.37
  4. Step 4: Simplify right side
    7,970.01x = 42,850,820.76
  5. Step 5: Solve for x
    x = 42,850,820.76/7,970.01
  6. Step 6: Final answer
    x = 5,376.51

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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.