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Finding the Fourth Proportional to 6,078.49, 9,153.51 and 5,307.73

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Solution

The fourth proportional to 6,078.49, 9,153.51 and 5,307.73 is: 7,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.49 : 9,153.51 = 5,307.73 : x
  2. Step 2: Convert to fraction form
    6,078.49/9,153.51 = 5,307.73/x
  3. Step 3: Cross multiply
    6,078.49x = 9,153.51 × 5,307.73
  4. Step 4: Simplify right side
    6,078.49x = 48,584,316.84
  5. Step 5: Solve for x
    x = 48,584,316.84/6,078.49
  6. Step 6: Final answer
    x = 7,992.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.