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Finding the Fourth Proportional to 5,966.61, 8,216.42 and 5,467.65

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Solution

The fourth proportional to 5,966.61, 8,216.42 and 5,467.65 is: 7,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.61 : 8,216.42 = 5,467.65 : x
  2. Step 2: Convert to fraction form
    5,966.61/8,216.42 = 5,467.65/x
  3. Step 3: Cross multiply
    5,966.61x = 8,216.42 × 5,467.65
  4. Step 4: Simplify right side
    5,966.61x = 44,924,450.66
  5. Step 5: Solve for x
    x = 44,924,450.66/5,966.61
  6. Step 6: Final answer
    x = 7,529.31

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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.