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Finding the Fourth Proportional to 6,185.36, 8,530.98 and 3,828.80

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Solution

The fourth proportional to 6,185.36, 8,530.98 and 3,828.80 is: 5,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.36 : 8,530.98 = 3,828.80 : x
  2. Step 2: Convert to fraction form
    6,185.36/8,530.98 = 3,828.80/x
  3. Step 3: Cross multiply
    6,185.36x = 8,530.98 × 3,828.80
  4. Step 4: Simplify right side
    6,185.36x = 32,663,416.22
  5. Step 5: Solve for x
    x = 32,663,416.22/6,185.36
  6. Step 6: Final answer
    x = 5,280.76

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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.