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Finding the Fourth Proportional to 6,131.09, 8,460.65 and 3,478.65

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Solution

The fourth proportional to 6,131.09, 8,460.65 and 3,478.65 is: 4,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.09 : 8,460.65 = 3,478.65 : x
  2. Step 2: Convert to fraction form
    6,131.09/8,460.65 = 3,478.65/x
  3. Step 3: Cross multiply
    6,131.09x = 8,460.65 × 3,478.65
  4. Step 4: Simplify right side
    6,131.09x = 29,431,617.09
  5. Step 5: Solve for x
    x = 29,431,617.09/6,131.09
  6. Step 6: Final answer
    x = 4,800.39

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Half scale
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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.