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Finding the Fourth Proportional to 11,770.65, 17,655.96 and 3,005.56

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Solution

The fourth proportional to 11,770.65, 17,655.96 and 3,005.56 is: 4,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.65 : 17,655.96 = 3,005.56 : x
  2. Step 2: Convert to fraction form
    11,770.65/17,655.96 = 3,005.56/x
  3. Step 3: Cross multiply
    11,770.65x = 17,655.96 × 3,005.56
  4. Step 4: Simplify right side
    11,770.65x = 53,066,047.14
  5. Step 5: Solve for x
    x = 53,066,047.14/11,770.65
  6. Step 6: Final answer
    x = 4,508.34

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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.