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Finding the Fourth Proportional to 11,237.72, 16,871.16 and 8,642.48

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Solution

The fourth proportional to 11,237.72, 16,871.16 and 8,642.48 is: 12,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.72 : 16,871.16 = 8,642.48 : x
  2. Step 2: Convert to fraction form
    11,237.72/16,871.16 = 8,642.48/x
  3. Step 3: Cross multiply
    11,237.72x = 16,871.16 × 8,642.48
  4. Step 4: Simplify right side
    11,237.72x = 145,808,662.88
  5. Step 5: Solve for x
    x = 145,808,662.88/11,237.72
  6. Step 6: Final answer
    x = 12,974.93

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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.