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Finding the Fourth Proportional to 14,451.10, 19,942.44 and 7,827.10

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Solution

The fourth proportional to 14,451.10, 19,942.44 and 7,827.10 is: 10,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.10 : 19,942.44 = 7,827.10 : x
  2. Step 2: Convert to fraction form
    14,451.10/19,942.44 = 7,827.10/x
  3. Step 3: Cross multiply
    14,451.10x = 19,942.44 × 7,827.10
  4. Step 4: Simplify right side
    14,451.10x = 156,091,472.12
  5. Step 5: Solve for x
    x = 156,091,472.12/14,451.10
  6. Step 6: Final answer
    x = 10,801.36

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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.