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Finding the Fourth Proportional to 4,075.88, 6,113.82 and 997.88

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Solution

The fourth proportional to 4,075.88, 6,113.82 and 997.88 is: 1,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.88 : 6,113.82 = 997.88 : x
  2. Step 2: Convert to fraction form
    4,075.88/6,113.82 = 997.88/x
  3. Step 3: Cross multiply
    4,075.88x = 6,113.82 × 997.88
  4. Step 4: Simplify right side
    4,075.88x = 6,100,828.13
  5. Step 5: Solve for x
    x = 6,100,828.13/4,075.88
  6. Step 6: Final answer
    x = 1,496.81

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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.