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Finding the Fourth Proportional to 14,073.48, 19,421.46 and 7,786.44

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Solution

The fourth proportional to 14,073.48, 19,421.46 and 7,786.44 is: 10,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.48 : 19,421.46 = 7,786.44 : x
  2. Step 2: Convert to fraction form
    14,073.48/19,421.46 = 7,786.44/x
  3. Step 3: Cross multiply
    14,073.48x = 19,421.46 × 7,786.44
  4. Step 4: Simplify right side
    14,073.48x = 151,224,033.00
  5. Step 5: Solve for x
    x = 151,224,033.00/14,073.48
  6. Step 6: Final answer
    x = 10,745.32

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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.