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Finding the Fourth Proportional to 14,606.91, 20,157.53 and 7,892.54

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Solution

The fourth proportional to 14,606.91, 20,157.53 and 7,892.54 is: 10,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.91 : 20,157.53 = 7,892.54 : x
  2. Step 2: Convert to fraction form
    14,606.91/20,157.53 = 7,892.54/x
  3. Step 3: Cross multiply
    14,606.91x = 20,157.53 × 7,892.54
  4. Step 4: Simplify right side
    14,606.91x = 159,093,971.58
  5. Step 5: Solve for x
    x = 159,093,971.58/14,606.91
  6. Step 6: Final answer
    x = 10,891.69

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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.