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Finding the Fourth Proportional to 14,638.74, 21,958.14 and 6,853.02

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Solution

The fourth proportional to 14,638.74, 21,958.14 and 6,853.02 is: 10,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.74 : 21,958.14 = 6,853.02 : x
  2. Step 2: Convert to fraction form
    14,638.74/21,958.14 = 6,853.02/x
  3. Step 3: Cross multiply
    14,638.74x = 21,958.14 × 6,853.02
  4. Step 4: Simplify right side
    14,638.74x = 150,479,572.58
  5. Step 5: Solve for x
    x = 150,479,572.58/14,638.74
  6. Step 6: Final answer
    x = 10,279.54

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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.