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Finding the Fourth Proportional to 6,701.01, 10,051.29 and 2,539.77

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Solution

The fourth proportional to 6,701.01, 10,051.29 and 2,539.77 is: 3,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.01 : 10,051.29 = 2,539.77 : x
  2. Step 2: Convert to fraction form
    6,701.01/10,051.29 = 2,539.77/x
  3. Step 3: Cross multiply
    6,701.01x = 10,051.29 × 2,539.77
  4. Step 4: Simplify right side
    6,701.01x = 25,527,964.80
  5. Step 5: Solve for x
    x = 25,527,964.80/6,701.01
  6. Step 6: Final answer
    x = 3,809.57

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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.