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Finding the Fourth Proportional to 14,443.44, 21,665.16 and 5,209.44

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Solution

The fourth proportional to 14,443.44, 21,665.16 and 5,209.44 is: 7,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.44 : 21,665.16 = 5,209.44 : x
  2. Step 2: Convert to fraction form
    14,443.44/21,665.16 = 5,209.44/x
  3. Step 3: Cross multiply
    14,443.44x = 21,665.16 × 5,209.44
  4. Step 4: Simplify right side
    14,443.44x = 112,863,351.11
  5. Step 5: Solve for x
    x = 112,863,351.11/14,443.44
  6. Step 6: Final answer
    x = 7,814.16

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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.