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Finding the Fourth Proportional to 10,638.73, 14,682.74 and 6,103.06

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Solution

The fourth proportional to 10,638.73, 14,682.74 and 6,103.06 is: 8,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.73 : 14,682.74 = 6,103.06 : x
  2. Step 2: Convert to fraction form
    10,638.73/14,682.74 = 6,103.06/x
  3. Step 3: Cross multiply
    10,638.73x = 14,682.74 × 6,103.06
  4. Step 4: Simplify right side
    10,638.73x = 89,609,539.26
  5. Step 5: Solve for x
    x = 89,609,539.26/10,638.73
  6. Step 6: Final answer
    x = 8,422.96

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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.