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Finding the Fourth Proportional to 6,772.76, 10,157 and 2,824

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Solution

The fourth proportional to 6,772.76, 10,157 and 2,824 is: 4,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.76 : 10,157 = 2,824 : x
  2. Step 2: Convert to fraction form
    6,772.76/10,157 = 2,824/x
  3. Step 3: Cross multiply
    6,772.76x = 10,157 × 2,824
  4. Step 4: Simplify right side
    6,772.76x = 28,683,368
  5. Step 5: Solve for x
    x = 28,683,368/6,772.76
  6. Step 6: Final answer
    x = 4,235.11

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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.