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Finding the Fourth Proportional to 13,911.98, 20,868 and 4,051.50

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Solution

The fourth proportional to 13,911.98, 20,868 and 4,051.50 is: 6,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.98 : 20,868 = 4,051.50 : x
  2. Step 2: Convert to fraction form
    13,911.98/20,868 = 4,051.50/x
  3. Step 3: Cross multiply
    13,911.98x = 20,868 × 4,051.50
  4. Step 4: Simplify right side
    13,911.98x = 84,546,597.66
  5. Step 5: Solve for x
    x = 84,546,597.66/13,911.98
  6. Step 6: Final answer
    x = 6,077.25

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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.