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Finding the Fourth Proportional to 6,846.77, 9,443.84 and 4,195.50

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Solution

The fourth proportional to 6,846.77, 9,443.84 and 4,195.50 is: 5,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.77 : 9,443.84 = 4,195.50 : x
  2. Step 2: Convert to fraction form
    6,846.77/9,443.84 = 4,195.50/x
  3. Step 3: Cross multiply
    6,846.77x = 9,443.84 × 4,195.50
  4. Step 4: Simplify right side
    6,846.77x = 39,621,609.74
  5. Step 5: Solve for x
    x = 39,621,609.74/6,846.77
  6. Step 6: Final answer
    x = 5,786.91

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Half scale
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Double 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.