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Finding the Fourth Proportional to 13,713.52, 18,924.32 and 7,745

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Solution

The fourth proportional to 13,713.52, 18,924.32 and 7,745 is: 10,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.52 : 18,924.32 = 7,745 : x
  2. Step 2: Convert to fraction form
    13,713.52/18,924.32 = 7,745/x
  3. Step 3: Cross multiply
    13,713.52x = 18,924.32 × 7,745
  4. Step 4: Simplify right side
    13,713.52x = 146,568,858.40
  5. Step 5: Solve for x
    x = 146,568,858.40/13,713.52
  6. Step 6: Final answer
    x = 10,687.91

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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.