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Finding the Fourth Proportional to 6,616.18, 9,895.10 and 3,835.65

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Solution

The fourth proportional to 6,616.18, 9,895.10 and 3,835.65 is: 5,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.18 : 9,895.10 = 3,835.65 : x
  2. Step 2: Convert to fraction form
    6,616.18/9,895.10 = 3,835.65/x
  3. Step 3: Cross multiply
    6,616.18x = 9,895.10 × 3,835.65
  4. Step 4: Simplify right side
    6,616.18x = 37,954,140.32
  5. Step 5: Solve for x
    x = 37,954,140.32/6,616.18
  6. Step 6: Final answer
    x = 5,736.57

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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.