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Finding the Fourth Proportional to 19,586.70, 27,029.80 and 10,634.28

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Solution

The fourth proportional to 19,586.70, 27,029.80 and 10,634.28 is: 14,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.70 : 27,029.80 = 10,634.28 : x
  2. Step 2: Convert to fraction form
    19,586.70/27,029.80 = 10,634.28/x
  3. Step 3: Cross multiply
    19,586.70x = 27,029.80 × 10,634.28
  4. Step 4: Simplify right side
    19,586.70x = 287,442,461.54
  5. Step 5: Solve for x
    x = 287,442,461.54/19,586.70
  6. Step 6: Final answer
    x = 14,675.39

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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.