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Finding the Fourth Proportional to 8,187.75, 12,269.34 and 4,675.93

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Solution

The fourth proportional to 8,187.75, 12,269.34 and 4,675.93 is: 7,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.75 : 12,269.34 = 4,675.93 : x
  2. Step 2: Convert to fraction form
    8,187.75/12,269.34 = 4,675.93/x
  3. Step 3: Cross multiply
    8,187.75x = 12,269.34 × 4,675.93
  4. Step 4: Simplify right side
    8,187.75x = 57,370,544.31
  5. Step 5: Solve for x
    x = 57,370,544.31/8,187.75
  6. Step 6: Final answer
    x = 7,006.88

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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.