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Finding the Fourth Proportional to 6,389.22, 9,584.84 and 2,005.63

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Solution

The fourth proportional to 6,389.22, 9,584.84 and 2,005.63 is: 3,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.22 : 9,584.84 = 2,005.63 : x
  2. Step 2: Convert to fraction form
    6,389.22/9,584.84 = 2,005.63/x
  3. Step 3: Cross multiply
    6,389.22x = 9,584.84 × 2,005.63
  4. Step 4: Simplify right side
    6,389.22x = 19,223,642.65
  5. Step 5: Solve for x
    x = 19,223,642.65/6,389.22
  6. Step 6: Final answer
    x = 3,008.76

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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.