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Finding the Fourth Proportional to 11,609.50, 16,021.02 and 6,304.20

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Solution

The fourth proportional to 11,609.50, 16,021.02 and 6,304.20 is: 8,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.50 : 16,021.02 = 6,304.20 : x
  2. Step 2: Convert to fraction form
    11,609.50/16,021.02 = 6,304.20/x
  3. Step 3: Cross multiply
    11,609.50x = 16,021.02 × 6,304.20
  4. Step 4: Simplify right side
    11,609.50x = 100,999,714.28
  5. Step 5: Solve for x
    x = 100,999,714.28/11,609.50
  6. Step 6: Final answer
    x = 8,699.75

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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.