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Finding the Fourth Proportional to 6,187.69, 8,534.73 and 3,828.43

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Solution

The fourth proportional to 6,187.69, 8,534.73 and 3,828.43 is: 5,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.69 : 8,534.73 = 3,828.43 : x
  2. Step 2: Convert to fraction form
    6,187.69/8,534.73 = 3,828.43/x
  3. Step 3: Cross multiply
    6,187.69x = 8,534.73 × 3,828.43
  4. Step 4: Simplify right side
    6,187.69x = 32,674,616.37
  5. Step 5: Solve for x
    x = 32,674,616.37/6,187.69
  6. Step 6: Final answer
    x = 5,280.58

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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.