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Finding the Fourth Proportional to 14,608.41, 21,914.73 and 4,609.76

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Solution

The fourth proportional to 14,608.41, 21,914.73 and 4,609.76 is: 6,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.41 : 21,914.73 = 4,609.76 : x
  2. Step 2: Convert to fraction form
    14,608.41/21,914.73 = 4,609.76/x
  3. Step 3: Cross multiply
    14,608.41x = 21,914.73 × 4,609.76
  4. Step 4: Simplify right side
    14,608.41x = 101,021,645.76
  5. Step 5: Solve for x
    x = 101,021,645.76/14,608.41
  6. Step 6: Final answer
    x = 6,915.31

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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.