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Finding the Fourth Proportional to 6,166.90, 8,510.44 and 3,514.16

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Solution

The fourth proportional to 6,166.90, 8,510.44 and 3,514.16 is: 4,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.90 : 8,510.44 = 3,514.16 : x
  2. Step 2: Convert to fraction form
    6,166.90/8,510.44 = 3,514.16/x
  3. Step 3: Cross multiply
    6,166.90x = 8,510.44 × 3,514.16
  4. Step 4: Simplify right side
    6,166.90x = 29,907,047.83
  5. Step 5: Solve for x
    x = 29,907,047.83/6,166.90
  6. Step 6: Final answer
    x = 4,849.61

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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.