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Finding the Fourth Proportional to 6,047.75, 9,075.09 and 2,349.50

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Solution

The fourth proportional to 6,047.75, 9,075.09 and 2,349.50 is: 3,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.75 : 9,075.09 = 2,349.50 : x
  2. Step 2: Convert to fraction form
    6,047.75/9,075.09 = 2,349.50/x
  3. Step 3: Cross multiply
    6,047.75x = 9,075.09 × 2,349.50
  4. Step 4: Simplify right side
    6,047.75x = 21,321,923.96
  5. Step 5: Solve for x
    x = 21,321,923.96/6,047.75
  6. Step 6: Final answer
    x = 3,525.60

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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.