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Finding the Fourth Proportional to 10,682.84, 14,741.32 and 6,206.50

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Solution

The fourth proportional to 10,682.84, 14,741.32 and 6,206.50 is: 8,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.84 : 14,741.32 = 6,206.50 : x
  2. Step 2: Convert to fraction form
    10,682.84/14,741.32 = 6,206.50/x
  3. Step 3: Cross multiply
    10,682.84x = 14,741.32 × 6,206.50
  4. Step 4: Simplify right side
    10,682.84x = 91,492,002.58
  5. Step 5: Solve for x
    x = 91,492,002.58/10,682.84
  6. Step 6: Final answer
    x = 8,564.39

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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.