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Finding the Fourth Proportional to 12,846.68, 17,722.05 and 10,008.98

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Solution

The fourth proportional to 12,846.68, 17,722.05 and 10,008.98 is: 13,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.68 : 17,722.05 = 10,008.98 : x
  2. Step 2: Convert to fraction form
    12,846.68/17,722.05 = 10,008.98/x
  3. Step 3: Cross multiply
    12,846.68x = 17,722.05 × 10,008.98
  4. Step 4: Simplify right side
    12,846.68x = 177,379,644.01
  5. Step 5: Solve for x
    x = 177,379,644.01/12,846.68
  6. Step 6: Final answer
    x = 13,807.43

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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.