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Finding the Fourth Proportional to 3,997.16, 5,994.94 and 1,075.50

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Solution

The fourth proportional to 3,997.16, 5,994.94 and 1,075.50 is: 1,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.16 : 5,994.94 = 1,075.50 : x
  2. Step 2: Convert to fraction form
    3,997.16/5,994.94 = 1,075.50/x
  3. Step 3: Cross multiply
    3,997.16x = 5,994.94 × 1,075.50
  4. Step 4: Simplify right side
    3,997.16x = 6,447,557.97
  5. Step 5: Solve for x
    x = 6,447,557.97/3,997.16
  6. Step 6: Final answer
    x = 1,613.03

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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.