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Finding the Fourth Proportional to 4,075, 6,112.56 and 997

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Solution

The fourth proportional to 4,075, 6,112.56 and 997 is: 1,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075 : 6,112.56 = 997 : x
  2. Step 2: Convert to fraction form
    4,075/6,112.56 = 997/x
  3. Step 3: Cross multiply
    4,075x = 6,112.56 × 997
  4. Step 4: Simplify right side
    4,075x = 6,094,222.32
  5. Step 5: Solve for x
    x = 6,094,222.32/4,075
  6. Step 6: Final answer
    x = 1,495.51

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Double scale
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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.