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Finding the Fourth Proportional to 7,846.93, 11,770.40 and 1,923.81

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Solution

The fourth proportional to 7,846.93, 11,770.40 and 1,923.81 is: 2,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.93 : 11,770.40 = 1,923.81 : x
  2. Step 2: Convert to fraction form
    7,846.93/11,770.40 = 1,923.81/x
  3. Step 3: Cross multiply
    7,846.93x = 11,770.40 × 1,923.81
  4. Step 4: Simplify right side
    7,846.93x = 22,644,013.22
  5. Step 5: Solve for x
    x = 22,644,013.22/7,846.93
  6. Step 6: Final answer
    x = 2,885.72

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Similar ratio
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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.