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Finding the Fourth Proportional to 9,023.64, 13,536 and 2,450.37

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Solution

The fourth proportional to 9,023.64, 13,536 and 2,450.37 is: 3,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.64 : 13,536 = 2,450.37 : x
  2. Step 2: Convert to fraction form
    9,023.64/13,536 = 2,450.37/x
  3. Step 3: Cross multiply
    9,023.64x = 13,536 × 2,450.37
  4. Step 4: Simplify right side
    9,023.64x = 33,168,208.32
  5. Step 5: Solve for x
    x = 33,168,208.32/9,023.64
  6. Step 6: Final answer
    x = 3,675.70

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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.