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Finding the Fourth Proportional to 7,832.87, 11,750.97 and 2,567.50

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Solution

The fourth proportional to 7,832.87, 11,750.97 and 2,567.50 is: 3,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.87 : 11,750.97 = 2,567.50 : x
  2. Step 2: Convert to fraction form
    7,832.87/11,750.97 = 2,567.50/x
  3. Step 3: Cross multiply
    7,832.87x = 11,750.97 × 2,567.50
  4. Step 4: Simplify right side
    7,832.87x = 30,170,615.48
  5. Step 5: Solve for x
    x = 30,170,615.48/7,832.87
  6. Step 6: Final answer
    x = 3,851.80

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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.