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Finding the Fourth Proportional to 6,786.15, 9,368.15 and 4,269.48

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Solution

The fourth proportional to 6,786.15, 9,368.15 and 4,269.48 is: 5,893.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.15 : 9,368.15 = 4,269.48 : x
  2. Step 2: Convert to fraction form
    6,786.15/9,368.15 = 4,269.48/x
  3. Step 3: Cross multiply
    6,786.15x = 9,368.15 × 4,269.48
  4. Step 4: Simplify right side
    6,786.15x = 39,997,129.06
  5. Step 5: Solve for x
    x = 39,997,129.06/6,786.15
  6. Step 6: Final answer
    x = 5,893.94

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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.