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Finding the Fourth Proportional to 10,812.85, 14,922.80 and 6,563.58

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Solution

The fourth proportional to 10,812.85, 14,922.80 and 6,563.58 is: 9,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.85 : 14,922.80 = 6,563.58 : x
  2. Step 2: Convert to fraction form
    10,812.85/14,922.80 = 6,563.58/x
  3. Step 3: Cross multiply
    10,812.85x = 14,922.80 × 6,563.58
  4. Step 4: Simplify right side
    10,812.85x = 97,946,991.62
  5. Step 5: Solve for x
    x = 97,946,991.62/10,812.85
  6. Step 6: Final answer
    x = 9,058.39

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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.