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Finding the Fourth Proportional to 6,576.84, 9,076.56 and 3,782.28

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Solution

The fourth proportional to 6,576.84, 9,076.56 and 3,782.28 is: 5,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.84 : 9,076.56 = 3,782.28 : x
  2. Step 2: Convert to fraction form
    6,576.84/9,076.56 = 3,782.28/x
  3. Step 3: Cross multiply
    6,576.84x = 9,076.56 × 3,782.28
  4. Step 4: Simplify right side
    6,576.84x = 34,330,091.36
  5. Step 5: Solve for x
    x = 34,330,091.36/6,576.84
  6. Step 6: Final answer
    x = 5,219.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.