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Finding the Fourth Proportional to 8,297.50, 11,442.86 and 6,055.83

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Solution

The fourth proportional to 8,297.50, 11,442.86 and 6,055.83 is: 8,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.50 : 11,442.86 = 6,055.83 : x
  2. Step 2: Convert to fraction form
    8,297.50/11,442.86 = 6,055.83/x
  3. Step 3: Cross multiply
    8,297.50x = 11,442.86 × 6,055.83
  4. Step 4: Simplify right side
    8,297.50x = 69,296,001.41
  5. Step 5: Solve for x
    x = 69,296,001.41/8,297.50
  6. Step 6: Final answer
    x = 8,351.43

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Half scale
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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.