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Finding the Fourth Proportional to 6,389.28, 9,584.58 and 1,772.28

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Solution

The fourth proportional to 6,389.28, 9,584.58 and 1,772.28 is: 2,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.28 : 9,584.58 = 1,772.28 : x
  2. Step 2: Convert to fraction form
    6,389.28/9,584.58 = 1,772.28/x
  3. Step 3: Cross multiply
    6,389.28x = 9,584.58 × 1,772.28
  4. Step 4: Simplify right side
    6,389.28x = 16,986,559.44
  5. Step 5: Solve for x
    x = 16,986,559.44/6,389.28
  6. Step 6: Final answer
    x = 2,658.60

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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.