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Finding the Fourth Proportional to 11,609.75, 16,021.06 and 6,304.46

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Solution

The fourth proportional to 11,609.75, 16,021.06 and 6,304.46 is: 8,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.75 : 16,021.06 = 6,304.46 : x
  2. Step 2: Convert to fraction form
    11,609.75/16,021.06 = 6,304.46/x
  3. Step 3: Cross multiply
    11,609.75x = 16,021.06 × 6,304.46
  4. Step 4: Simplify right side
    11,609.75x = 101,004,036.06
  5. Step 5: Solve for x
    x = 101,004,036.06/11,609.75
  6. Step 6: Final answer
    x = 8,699.93

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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.