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Finding the Fourth Proportional to 7,971.77, 11,957.73 and 3,586.22

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Solution

The fourth proportional to 7,971.77, 11,957.73 and 3,586.22 is: 5,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.77 : 11,957.73 = 3,586.22 : x
  2. Step 2: Convert to fraction form
    7,971.77/11,957.73 = 3,586.22/x
  3. Step 3: Cross multiply
    7,971.77x = 11,957.73 × 3,586.22
  4. Step 4: Simplify right side
    7,971.77x = 42,883,089.35
  5. Step 5: Solve for x
    x = 42,883,089.35/7,971.77
  6. Step 6: Final answer
    x = 5,379.37

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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.