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Finding the Fourth Proportional to 8,400.16, 11,596.08 and 6,162.16

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Solution

The fourth proportional to 8,400.16, 11,596.08 and 6,162.16 is: 8,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.16 : 11,596.08 = 6,162.16 : x
  2. Step 2: Convert to fraction form
    8,400.16/11,596.08 = 6,162.16/x
  3. Step 3: Cross multiply
    8,400.16x = 11,596.08 × 6,162.16
  4. Step 4: Simplify right side
    8,400.16x = 71,456,900.33
  5. Step 5: Solve for x
    x = 71,456,900.33/8,400.16
  6. Step 6: Final answer
    x = 8,506.61

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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.