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Finding the Fourth Proportional to 4,075.53, 6,112.53 and 1,153.82

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Solution

The fourth proportional to 4,075.53, 6,112.53 and 1,153.82 is: 1,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.53 : 6,112.53 = 1,153.82 : x
  2. Step 2: Convert to fraction form
    4,075.53/6,112.53 = 1,153.82/x
  3. Step 3: Cross multiply
    4,075.53x = 6,112.53 × 1,153.82
  4. Step 4: Simplify right side
    4,075.53x = 7,052,728.80
  5. Step 5: Solve for x
    x = 7,052,728.80/4,075.53
  6. Step 6: Final answer
    x = 1,730.51

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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.