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Finding the Fourth Proportional to 10,638.63, 14,682.24 and 5,923.80

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Solution

The fourth proportional to 10,638.63, 14,682.24 and 5,923.80 is: 8,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.63 : 14,682.24 = 5,923.80 : x
  2. Step 2: Convert to fraction form
    10,638.63/14,682.24 = 5,923.80/x
  3. Step 3: Cross multiply
    10,638.63x = 14,682.24 × 5,923.80
  4. Step 4: Simplify right side
    10,638.63x = 86,974,653.31
  5. Step 5: Solve for x
    x = 86,974,653.31/10,638.63
  6. Step 6: Final answer
    x = 8,175.36

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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.