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Finding the Fourth Proportional to 13,993.51, 20,962.14 and 6,952.23

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Solution

The fourth proportional to 13,993.51, 20,962.14 and 6,952.23 is: 10,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.51 : 20,962.14 = 6,952.23 : x
  2. Step 2: Convert to fraction form
    13,993.51/20,962.14 = 6,952.23/x
  3. Step 3: Cross multiply
    13,993.51x = 20,962.14 × 6,952.23
  4. Step 4: Simplify right side
    13,993.51x = 145,733,631.61
  5. Step 5: Solve for x
    x = 145,733,631.61/13,993.51
  6. Step 6: Final answer
    x = 10,414.37

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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.