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Finding the Fourth Proportional to 5,642.65, 8,467.22 and 4,406.59

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Solution

The fourth proportional to 5,642.65, 8,467.22 and 4,406.59 is: 6,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.65 : 8,467.22 = 4,406.59 : x
  2. Step 2: Convert to fraction form
    5,642.65/8,467.22 = 4,406.59/x
  3. Step 3: Cross multiply
    5,642.65x = 8,467.22 × 4,406.59
  4. Step 4: Simplify right side
    5,642.65x = 37,311,566.98
  5. Step 5: Solve for x
    x = 37,311,566.98/5,642.65
  6. Step 6: Final answer
    x = 6,612.42

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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.