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Finding the Fourth Proportional to 16,383.79, 24,575.70 and 4,071.79

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Solution

The fourth proportional to 16,383.79, 24,575.70 and 4,071.79 is: 6,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.79 : 24,575.70 = 4,071.79 : x
  2. Step 2: Convert to fraction form
    16,383.79/24,575.70 = 4,071.79/x
  3. Step 3: Cross multiply
    16,383.79x = 24,575.70 × 4,071.79
  4. Step 4: Simplify right side
    16,383.79x = 100,066,946.27
  5. Step 5: Solve for x
    x = 100,066,946.27/16,383.79
  6. Step 6: Final answer
    x = 6,107.68

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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.