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Finding the Fourth Proportional to 8,537.94, 12,749.99 and 8,100.54

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Solution

The fourth proportional to 8,537.94, 12,749.99 and 8,100.54 is: 12,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.94 : 12,749.99 = 8,100.54 : x
  2. Step 2: Convert to fraction form
    8,537.94/12,749.99 = 8,100.54/x
  3. Step 3: Cross multiply
    8,537.94x = 12,749.99 × 8,100.54
  4. Step 4: Simplify right side
    8,537.94x = 103,281,763.49
  5. Step 5: Solve for x
    x = 103,281,763.49/8,537.94
  6. Step 6: Final answer
    x = 12,096.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.