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Finding the Fourth Proportional to 6,047.76, 9,075.12 and 2,760.48

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Solution

The fourth proportional to 6,047.76, 9,075.12 and 2,760.48 is: 4,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.76 : 9,075.12 = 2,760.48 : x
  2. Step 2: Convert to fraction form
    6,047.76/9,075.12 = 2,760.48/x
  3. Step 3: Cross multiply
    6,047.76x = 9,075.12 × 2,760.48
  4. Step 4: Simplify right side
    6,047.76x = 25,051,687.26
  5. Step 5: Solve for x
    x = 25,051,687.26/6,047.76
  6. Step 6: Final answer
    x = 4,142.31

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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.