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Finding the Fourth Proportional to 11,762.96, 17,650.44 and 7,816.91

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Solution

The fourth proportional to 11,762.96, 17,650.44 and 7,816.91 is: 11,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.96 : 17,650.44 = 7,816.91 : x
  2. Step 2: Convert to fraction form
    11,762.96/17,650.44 = 7,816.91/x
  3. Step 3: Cross multiply
    11,762.96x = 17,650.44 × 7,816.91
  4. Step 4: Simplify right side
    11,762.96x = 137,971,812.69
  5. Step 5: Solve for x
    x = 137,971,812.69/11,762.96
  6. Step 6: Final answer
    x = 11,729.35

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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.