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Finding the Fourth Proportional to 12,409.98, 18,595.50 and 10,553.46

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Solution

The fourth proportional to 12,409.98, 18,595.50 and 10,553.46 is: 15,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.98 : 18,595.50 = 10,553.46 : x
  2. Step 2: Convert to fraction form
    12,409.98/18,595.50 = 10,553.46/x
  3. Step 3: Cross multiply
    12,409.98x = 18,595.50 × 10,553.46
  4. Step 4: Simplify right side
    12,409.98x = 196,246,865.43
  5. Step 5: Solve for x
    x = 196,246,865.43/12,409.98
  6. Step 6: Final answer
    x = 15,813.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.