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Finding the Fourth Proportional to 6,612.40, 9,122.63 and 4,222.46

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Solution

The fourth proportional to 6,612.40, 9,122.63 and 4,222.46 is: 5,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.40 : 9,122.63 = 4,222.46 : x
  2. Step 2: Convert to fraction form
    6,612.40/9,122.63 = 4,222.46/x
  3. Step 3: Cross multiply
    6,612.40x = 9,122.63 × 4,222.46
  4. Step 4: Simplify right side
    6,612.40x = 38,519,941.96
  5. Step 5: Solve for x
    x = 38,519,941.96/6,612.40
  6. Step 6: Final answer
    x = 5,825.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.