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Finding the Fourth Proportional to 6,627.60, 9,146.56 and 4,385.56

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Solution

The fourth proportional to 6,627.60, 9,146.56 and 4,385.56 is: 6,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.60 : 9,146.56 = 4,385.56 : x
  2. Step 2: Convert to fraction form
    6,627.60/9,146.56 = 4,385.56/x
  3. Step 3: Cross multiply
    6,627.60x = 9,146.56 × 4,385.56
  4. Step 4: Simplify right side
    6,627.60x = 40,112,787.67
  5. Step 5: Solve for x
    x = 40,112,787.67/6,627.60
  6. Step 6: Final answer
    x = 6,052.39

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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.