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Finding the Fourth Proportional to 14,045.30, 19,382.13 and 7,757.30

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Solution

The fourth proportional to 14,045.30, 19,382.13 and 7,757.30 is: 10,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,045.30 : 19,382.13 = 7,757.30 : x
  2. Step 2: Convert to fraction form
    14,045.30/19,382.13 = 7,757.30/x
  3. Step 3: Cross multiply
    14,045.30x = 19,382.13 × 7,757.30
  4. Step 4: Simplify right side
    14,045.30x = 150,352,997.05
  5. Step 5: Solve for x
    x = 150,352,997.05/14,045.30
  6. Step 6: Final answer
    x = 10,704.86

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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.