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Finding the Fourth Proportional to 30,654.36, 45,971.82 and 9,873

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Solution

The fourth proportional to 30,654.36, 45,971.82 and 9,873 is: 14,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654.36 : 45,971.82 = 9,873 : x
  2. Step 2: Convert to fraction form
    30,654.36/45,971.82 = 9,873/x
  3. Step 3: Cross multiply
    30,654.36x = 45,971.82 × 9,873
  4. Step 4: Simplify right side
    30,654.36x = 453,879,778.86
  5. Step 5: Solve for x
    x = 453,879,778.86/30,654.36
  6. Step 6: Final answer
    x = 14,806.37

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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.