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Finding the Fourth Proportional to 13,174.94, 19,744.98 and 6,922.17

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Solution

The fourth proportional to 13,174.94, 19,744.98 and 6,922.17 is: 10,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.94 : 19,744.98 = 6,922.17 : x
  2. Step 2: Convert to fraction form
    13,174.94/19,744.98 = 6,922.17/x
  3. Step 3: Cross multiply
    13,174.94x = 19,744.98 × 6,922.17
  4. Step 4: Simplify right side
    13,174.94x = 136,678,108.21
  5. Step 5: Solve for x
    x = 136,678,108.21/13,174.94
  6. Step 6: Final answer
    x = 10,374.10

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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.