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Finding the Fourth Proportional to 6,701.68, 10,053.30 and 2,544.80

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Solution

The fourth proportional to 6,701.68, 10,053.30 and 2,544.80 is: 3,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.68 : 10,053.30 = 2,544.80 : x
  2. Step 2: Convert to fraction form
    6,701.68/10,053.30 = 2,544.80/x
  3. Step 3: Cross multiply
    6,701.68x = 10,053.30 × 2,544.80
  4. Step 4: Simplify right side
    6,701.68x = 25,583,637.84
  5. Step 5: Solve for x
    x = 25,583,637.84/6,701.68
  6. Step 6: Final answer
    x = 3,817.50

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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.