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Finding the Fourth Proportional to 10,600.84, 14,630.16 and 6,409

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Solution

The fourth proportional to 10,600.84, 14,630.16 and 6,409 is: 8,845.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.84 : 14,630.16 = 6,409 : x
  2. Step 2: Convert to fraction form
    10,600.84/14,630.16 = 6,409/x
  3. Step 3: Cross multiply
    10,600.84x = 14,630.16 × 6,409
  4. Step 4: Simplify right side
    10,600.84x = 93,764,695.44
  5. Step 5: Solve for x
    x = 93,764,695.44/10,600.84
  6. Step 6: Final answer
    x = 8,845.03

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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.