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Finding the Fourth Proportional to 6,627.92, 9,144.64 and 4,612.10

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Solution

The fourth proportional to 6,627.92, 9,144.64 and 4,612.10 is: 6,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.92 : 9,144.64 = 4,612.10 : x
  2. Step 2: Convert to fraction form
    6,627.92/9,144.64 = 4,612.10/x
  3. Step 3: Cross multiply
    6,627.92x = 9,144.64 × 4,612.10
  4. Step 4: Simplify right side
    6,627.92x = 42,175,994.14
  5. Step 5: Solve for x
    x = 42,175,994.14/6,627.92
  6. Step 6: Final answer
    x = 6,363.38

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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.