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Finding the Fourth Proportional to 4,907.40, 7,361.10 and 1,444.56

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Solution

The fourth proportional to 4,907.40, 7,361.10 and 1,444.56 is: 2,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.40 : 7,361.10 = 1,444.56 : x
  2. Step 2: Convert to fraction form
    4,907.40/7,361.10 = 1,444.56/x
  3. Step 3: Cross multiply
    4,907.40x = 7,361.10 × 1,444.56
  4. Step 4: Simplify right side
    4,907.40x = 10,633,550.62
  5. Step 5: Solve for x
    x = 10,633,550.62/4,907.40
  6. Step 6: Final answer
    x = 2,166.84

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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.