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Finding the Fourth Proportional to 11,656.86, 17,478.81 and 4,723.26

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Solution

The fourth proportional to 11,656.86, 17,478.81 and 4,723.26 is: 7,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.86 : 17,478.81 = 4,723.26 : x
  2. Step 2: Convert to fraction form
    11,656.86/17,478.81 = 4,723.26/x
  3. Step 3: Cross multiply
    11,656.86x = 17,478.81 × 4,723.26
  4. Step 4: Simplify right side
    11,656.86x = 82,556,964.12
  5. Step 5: Solve for x
    x = 82,556,964.12/11,656.86
  6. Step 6: Final answer
    x = 7,082.26

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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.