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Finding the Fourth Proportional to 9,764.84, 14,640.78 and 5,384.36

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Solution

The fourth proportional to 9,764.84, 14,640.78 and 5,384.36 is: 8,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.84 : 14,640.78 = 5,384.36 : x
  2. Step 2: Convert to fraction form
    9,764.84/14,640.78 = 5,384.36/x
  3. Step 3: Cross multiply
    9,764.84x = 14,640.78 × 5,384.36
  4. Step 4: Simplify right side
    9,764.84x = 78,831,230.20
  5. Step 5: Solve for x
    x = 78,831,230.20/9,764.84
  6. Step 6: Final answer
    x = 8,072.97

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1.5x scale

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.