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Finding the Fourth Proportional to 11,170.98, 16,756.46 and 2,851.00

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Solution

The fourth proportional to 11,170.98, 16,756.46 and 2,851.00 is: 4,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.98 : 16,756.46 = 2,851.00 : x
  2. Step 2: Convert to fraction form
    11,170.98/16,756.46 = 2,851.00/x
  3. Step 3: Cross multiply
    11,170.98x = 16,756.46 × 2,851.00
  4. Step 4: Simplify right side
    11,170.98x = 47,772,677.15
  5. Step 5: Solve for x
    x = 47,772,677.15/11,170.98
  6. Step 6: Final answer
    x = 4,276.50

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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.