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Finding the Fourth Proportional to 8,277.84, 11,424.84 and 5,623.44

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Solution

The fourth proportional to 8,277.84, 11,424.84 and 5,623.44 is: 7,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.84 : 11,424.84 = 5,623.44 : x
  2. Step 2: Convert to fraction form
    8,277.84/11,424.84 = 5,623.44/x
  3. Step 3: Cross multiply
    8,277.84x = 11,424.84 × 5,623.44
  4. Step 4: Simplify right side
    8,277.84x = 64,246,902.25
  5. Step 5: Solve for x
    x = 64,246,902.25/8,277.84
  6. Step 6: Final answer
    x = 7,761.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.