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Finding the Fourth Proportional to 13,274.88, 18,318.21 and 7,823.10

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Solution

The fourth proportional to 13,274.88, 18,318.21 and 7,823.10 is: 10,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.88 : 18,318.21 = 7,823.10 : x
  2. Step 2: Convert to fraction form
    13,274.88/18,318.21 = 7,823.10/x
  3. Step 3: Cross multiply
    13,274.88x = 18,318.21 × 7,823.10
  4. Step 4: Simplify right side
    13,274.88x = 143,305,188.65
  5. Step 5: Solve for x
    x = 143,305,188.65/13,274.88
  6. Step 6: Final answer
    x = 10,795.22

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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.