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Finding the Fourth Proportional to 13,213.98, 19,820.97 and 7,057.98

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Solution

The fourth proportional to 13,213.98, 19,820.97 and 7,057.98 is: 10,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.98 : 19,820.97 = 7,057.98 : x
  2. Step 2: Convert to fraction form
    13,213.98/19,820.97 = 7,057.98/x
  3. Step 3: Cross multiply
    13,213.98x = 19,820.97 × 7,057.98
  4. Step 4: Simplify right side
    13,213.98x = 139,896,009.84
  5. Step 5: Solve for x
    x = 139,896,009.84/13,213.98
  6. Step 6: Final answer
    x = 10,586.97

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Similar ratio
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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.