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Finding the Fourth Proportional to 6,306.81, 9,461.72 and 1,923.99

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Solution

The fourth proportional to 6,306.81, 9,461.72 and 1,923.99 is: 2,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.81 : 9,461.72 = 1,923.99 : x
  2. Step 2: Convert to fraction form
    6,306.81/9,461.72 = 1,923.99/x
  3. Step 3: Cross multiply
    6,306.81x = 9,461.72 × 1,923.99
  4. Step 4: Simplify right side
    6,306.81x = 18,204,245.04
  5. Step 5: Solve for x
    x = 18,204,245.04/6,306.81
  6. Step 6: Final answer
    x = 2,886.44

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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.