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Finding the Fourth Proportional to 3,670.98, 5,467.10 and 3,649.92

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Solution

The fourth proportional to 3,670.98, 5,467.10 and 3,649.92 is: 5,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.98 : 5,467.10 = 3,649.92 : x
  2. Step 2: Convert to fraction form
    3,670.98/5,467.10 = 3,649.92/x
  3. Step 3: Cross multiply
    3,670.98x = 5,467.10 × 3,649.92
  4. Step 4: Simplify right side
    3,670.98x = 19,954,477.63
  5. Step 5: Solve for x
    x = 19,954,477.63/3,670.98
  6. Step 6: Final answer
    x = 5,435.74

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.