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Finding the Fourth Proportional to 6,231.84, 9,347.68 and 1,614.80

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Solution

The fourth proportional to 6,231.84, 9,347.68 and 1,614.80 is: 2,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.84 : 9,347.68 = 1,614.80 : x
  2. Step 2: Convert to fraction form
    6,231.84/9,347.68 = 1,614.80/x
  3. Step 3: Cross multiply
    6,231.84x = 9,347.68 × 1,614.80
  4. Step 4: Simplify right side
    6,231.84x = 15,094,633.66
  5. Step 5: Solve for x
    x = 15,094,633.66/6,231.84
  6. Step 6: Final answer
    x = 2,422.18

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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.