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Finding the Fourth Proportional to 11,762.67, 16,232.50 and 6,983.57

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Solution

The fourth proportional to 11,762.67, 16,232.50 and 6,983.57 is: 9,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.67 : 16,232.50 = 6,983.57 : x
  2. Step 2: Convert to fraction form
    11,762.67/16,232.50 = 6,983.57/x
  3. Step 3: Cross multiply
    11,762.67x = 16,232.50 × 6,983.57
  4. Step 4: Simplify right side
    11,762.67x = 113,360,800.03
  5. Step 5: Solve for x
    x = 113,360,800.03/11,762.67
  6. Step 6: Final answer
    x = 9,637.34

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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.