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Finding the Fourth Proportional to 6,049.69, 9,071.19 and 4,075.21

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Solution

The fourth proportional to 6,049.69, 9,071.19 and 4,075.21 is: 6,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.69 : 9,071.19 = 4,075.21 : x
  2. Step 2: Convert to fraction form
    6,049.69/9,071.19 = 4,075.21/x
  3. Step 3: Cross multiply
    6,049.69x = 9,071.19 × 4,075.21
  4. Step 4: Simplify right side
    6,049.69x = 36,967,015.54
  5. Step 5: Solve for x
    x = 36,967,015.54/6,049.69
  6. Step 6: Final answer
    x = 6,110.57

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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.