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Finding the Fourth Proportional to 11,770.65, 16,243.92 and 6,465.96

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Solution

The fourth proportional to 11,770.65, 16,243.92 and 6,465.96 is: 8,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.65 : 16,243.92 = 6,465.96 : x
  2. Step 2: Convert to fraction form
    11,770.65/16,243.92 = 6,465.96/x
  3. Step 3: Cross multiply
    11,770.65x = 16,243.92 × 6,465.96
  4. Step 4: Simplify right side
    11,770.65x = 105,032,536.96
  5. Step 5: Solve for x
    x = 105,032,536.96/11,770.65
  6. Step 6: Final answer
    x = 8,923.26

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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.