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Finding the Fourth Proportional to 5,174.55, 7,758.99 and 4,075.65

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Solution

The fourth proportional to 5,174.55, 7,758.99 and 4,075.65 is: 6,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.55 : 7,758.99 = 4,075.65 : x
  2. Step 2: Convert to fraction form
    5,174.55/7,758.99 = 4,075.65/x
  3. Step 3: Cross multiply
    5,174.55x = 7,758.99 × 4,075.65
  4. Step 4: Simplify right side
    5,174.55x = 31,622,927.59
  5. Step 5: Solve for x
    x = 31,622,927.59/5,174.55
  6. Step 6: Final answer
    x = 6,111.24

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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.