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Finding the Fourth Proportional to 13,786, 19,024.92 and 7,498.48

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Solution

The fourth proportional to 13,786, 19,024.92 and 7,498.48 is: 10,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786 : 19,024.92 = 7,498.48 : x
  2. Step 2: Convert to fraction form
    13,786/19,024.92 = 7,498.48/x
  3. Step 3: Cross multiply
    13,786x = 19,024.92 × 7,498.48
  4. Step 4: Simplify right side
    13,786x = 142,657,982.12
  5. Step 5: Solve for x
    x = 142,657,982.12/13,786
  6. Step 6: Final answer
    x = 10,348.03

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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.