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Finding the Fourth Proportional to 10,313.84, 14,232.84 and 6,122

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Solution

The fourth proportional to 10,313.84, 14,232.84 and 6,122 is: 8,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.84 : 14,232.84 = 6,122 : x
  2. Step 2: Convert to fraction form
    10,313.84/14,232.84 = 6,122/x
  3. Step 3: Cross multiply
    10,313.84x = 14,232.84 × 6,122
  4. Step 4: Simplify right side
    10,313.84x = 87,133,446.48
  5. Step 5: Solve for x
    x = 87,133,446.48/10,313.84
  6. Step 6: Final answer
    x = 8,448.21

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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.