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Finding the Fourth Proportional to 10,149.36, 14,005.64 and 5,673.68

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Solution

The fourth proportional to 10,149.36, 14,005.64 and 5,673.68 is: 7,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.36 : 14,005.64 = 5,673.68 : x
  2. Step 2: Convert to fraction form
    10,149.36/14,005.64 = 5,673.68/x
  3. Step 3: Cross multiply
    10,149.36x = 14,005.64 × 5,673.68
  4. Step 4: Simplify right side
    10,149.36x = 79,463,519.56
  5. Step 5: Solve for x
    x = 79,463,519.56/10,149.36
  6. Step 6: Final answer
    x = 7,829.41

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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.