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Finding the Fourth Proportional to 8,267.06, 12,400.60 and 2,111.06

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Solution

The fourth proportional to 8,267.06, 12,400.60 and 2,111.06 is: 3,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.06 : 12,400.60 = 2,111.06 : x
  2. Step 2: Convert to fraction form
    8,267.06/12,400.60 = 2,111.06/x
  3. Step 3: Cross multiply
    8,267.06x = 12,400.60 × 2,111.06
  4. Step 4: Simplify right side
    8,267.06x = 26,178,436.36
  5. Step 5: Solve for x
    x = 26,178,436.36/8,267.06
  6. Step 6: Final answer
    x = 3,166.59

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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.