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Finding the Fourth Proportional to 8,064.78, 12,094.10 and 4,778.80

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Solution

The fourth proportional to 8,064.78, 12,094.10 and 4,778.80 is: 7,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.78 : 12,094.10 = 4,778.80 : x
  2. Step 2: Convert to fraction form
    8,064.78/12,094.10 = 4,778.80/x
  3. Step 3: Cross multiply
    8,064.78x = 12,094.10 × 4,778.80
  4. Step 4: Simplify right side
    8,064.78x = 57,795,285.08
  5. Step 5: Solve for x
    x = 57,795,285.08/8,064.78
  6. Step 6: Final answer
    x = 7,166.38

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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.