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Finding the Fourth Proportional to 10,351.80, 14,277.06 and 6,156

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Solution

The fourth proportional to 10,351.80, 14,277.06 and 6,156 is: 8,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.80 : 14,277.06 = 6,156 : x
  2. Step 2: Convert to fraction form
    10,351.80/14,277.06 = 6,156/x
  3. Step 3: Cross multiply
    10,351.80x = 14,277.06 × 6,156
  4. Step 4: Simplify right side
    10,351.80x = 87,889,581.36
  5. Step 5: Solve for x
    x = 87,889,581.36/10,351.80
  6. Step 6: Final answer
    x = 8,490.27

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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.