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Finding the Fourth Proportional to 12,726.99, 17,563.24 and 7,420.78

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Solution

The fourth proportional to 12,726.99, 17,563.24 and 7,420.78 is: 10,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.99 : 17,563.24 = 7,420.78 : x
  2. Step 2: Convert to fraction form
    12,726.99/17,563.24 = 7,420.78/x
  3. Step 3: Cross multiply
    12,726.99x = 17,563.24 × 7,420.78
  4. Step 4: Simplify right side
    12,726.99x = 130,332,971.36
  5. Step 5: Solve for x
    x = 130,332,971.36/12,726.99
  6. Step 6: Final answer
    x = 10,240.68

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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.