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Finding the Fourth Proportional to 6,307.98, 8,694.54 and 5,778.54

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Solution

The fourth proportional to 6,307.98, 8,694.54 and 5,778.54 is: 7,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.98 : 8,694.54 = 5,778.54 : x
  2. Step 2: Convert to fraction form
    6,307.98/8,694.54 = 5,778.54/x
  3. Step 3: Cross multiply
    6,307.98x = 8,694.54 × 5,778.54
  4. Step 4: Simplify right side
    6,307.98x = 50,241,747.17
  5. Step 5: Solve for x
    x = 50,241,747.17/6,307.98
  6. Step 6: Final answer
    x = 7,964.80

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1.5x scale

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.