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Finding the Fourth Proportional to 9,832.80, 14,745 and 4,564.56

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Solution

The fourth proportional to 9,832.80, 14,745 and 4,564.56 is: 6,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.80 : 14,745 = 4,564.56 : x
  2. Step 2: Convert to fraction form
    9,832.80/14,745 = 4,564.56/x
  3. Step 3: Cross multiply
    9,832.80x = 14,745 × 4,564.56
  4. Step 4: Simplify right side
    9,832.80x = 67,304,437.20
  5. Step 5: Solve for x
    x = 67,304,437.20/9,832.80
  6. Step 6: Final answer
    x = 6,844.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.