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Finding the Fourth Proportional to 6,281, 9,424.56 and 2,584.34

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Solution

The fourth proportional to 6,281, 9,424.56 and 2,584.34 is: 3,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281 : 9,424.56 = 2,584.34 : x
  2. Step 2: Convert to fraction form
    6,281/9,424.56 = 2,584.34/x
  3. Step 3: Cross multiply
    6,281x = 9,424.56 × 2,584.34
  4. Step 4: Simplify right side
    6,281x = 24,356,267.39
  5. Step 5: Solve for x
    x = 24,356,267.39/6,281
  6. Step 6: Final answer
    x = 3,877.77

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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.