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Finding the Fourth Proportional to 6,701.01, 10,051.95 and 1,770.53

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Solution

The fourth proportional to 6,701.01, 10,051.95 and 1,770.53 is: 2,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.01 : 10,051.95 = 1,770.53 : x
  2. Step 2: Convert to fraction form
    6,701.01/10,051.95 = 1,770.53/x
  3. Step 3: Cross multiply
    6,701.01x = 10,051.95 × 1,770.53
  4. Step 4: Simplify right side
    6,701.01x = 17,797,228.77
  5. Step 5: Solve for x
    x = 17,797,228.77/6,701.01
  6. Step 6: Final answer
    x = 2,655.90

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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.