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Finding the Fourth Proportional to 9,049.46, 12,490.08 and 6,185.84

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Solution

The fourth proportional to 9,049.46, 12,490.08 and 6,185.84 is: 8,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.46 : 12,490.08 = 6,185.84 : x
  2. Step 2: Convert to fraction form
    9,049.46/12,490.08 = 6,185.84/x
  3. Step 3: Cross multiply
    9,049.46x = 12,490.08 × 6,185.84
  4. Step 4: Simplify right side
    9,049.46x = 77,261,636.47
  5. Step 5: Solve for x
    x = 77,261,636.47/9,049.46
  6. Step 6: Final answer
    x = 8,537.71

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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.