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Finding the Fourth Proportional to 6,482.14, 8,945.38 and 3,649.26

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Solution

The fourth proportional to 6,482.14, 8,945.38 and 3,649.26 is: 5,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.14 : 8,945.38 = 3,649.26 : x
  2. Step 2: Convert to fraction form
    6,482.14/8,945.38 = 3,649.26/x
  3. Step 3: Cross multiply
    6,482.14x = 8,945.38 × 3,649.26
  4. Step 4: Simplify right side
    6,482.14x = 32,644,017.42
  5. Step 5: Solve for x
    x = 32,644,017.42/6,482.14
  6. Step 6: Final answer
    x = 5,035.99

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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.