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Finding the Fourth Proportional to 11,609.30, 16,020.78 and 6,304.07

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Solution

The fourth proportional to 11,609.30, 16,020.78 and 6,304.07 is: 8,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.30 : 16,020.78 = 6,304.07 : x
  2. Step 2: Convert to fraction form
    11,609.30/16,020.78 = 6,304.07/x
  3. Step 3: Cross multiply
    11,609.30x = 16,020.78 × 6,304.07
  4. Step 4: Simplify right side
    11,609.30x = 100,996,118.57
  5. Step 5: Solve for x
    x = 100,996,118.57/11,609.30
  6. Step 6: Final answer
    x = 8,699.59

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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.