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Finding the Fourth Proportional to 6,524.61, 9,778.07 and 3,006.89

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Solution

The fourth proportional to 6,524.61, 9,778.07 and 3,006.89 is: 4,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.61 : 9,778.07 = 3,006.89 : x
  2. Step 2: Convert to fraction form
    6,524.61/9,778.07 = 3,006.89/x
  3. Step 3: Cross multiply
    6,524.61x = 9,778.07 × 3,006.89
  4. Step 4: Simplify right side
    6,524.61x = 29,401,516.98
  5. Step 5: Solve for x
    x = 29,401,516.98/6,524.61
  6. Step 6: Final answer
    x = 4,506.25

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1.5x scale

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.