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Finding the Fourth Proportional to 9,222.48, 13,824 and 4,536

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Solution

The fourth proportional to 9,222.48, 13,824 and 4,536 is: 6,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.48 : 13,824 = 4,536 : x
  2. Step 2: Convert to fraction form
    9,222.48/13,824 = 4,536/x
  3. Step 3: Cross multiply
    9,222.48x = 13,824 × 4,536
  4. Step 4: Simplify right side
    9,222.48x = 62,705,664
  5. Step 5: Solve for x
    x = 62,705,664/9,222.48
  6. Step 6: Final answer
    x = 6,799.22

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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.