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Finding the Fourth Proportional to 6,282.51, 9,424.80 and 2,122.77

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Solution

The fourth proportional to 6,282.51, 9,424.80 and 2,122.77 is: 3,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.51 : 9,424.80 = 2,122.77 : x
  2. Step 2: Convert to fraction form
    6,282.51/9,424.80 = 2,122.77/x
  3. Step 3: Cross multiply
    6,282.51x = 9,424.80 × 2,122.77
  4. Step 4: Simplify right side
    6,282.51x = 20,006,672.08
  5. Step 5: Solve for x
    x = 20,006,672.08/6,282.51
  6. Step 6: Final answer
    x = 3,184.50

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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.