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Finding the Fourth Proportional to 6,576.21, 9,864.32 and 3,285.99

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Solution

The fourth proportional to 6,576.21, 9,864.32 and 3,285.99 is: 4,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.21 : 9,864.32 = 3,285.99 : x
  2. Step 2: Convert to fraction form
    6,576.21/9,864.32 = 3,285.99/x
  3. Step 3: Cross multiply
    6,576.21x = 9,864.32 × 3,285.99
  4. Step 4: Simplify right side
    6,576.21x = 32,414,040.45
  5. Step 5: Solve for x
    x = 32,414,040.45/6,576.21
  6. Step 6: Final answer
    x = 4,928.99

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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.