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Finding the Fourth Proportional to 9,057, 13,589.38 and 4,677.54

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Solution

The fourth proportional to 9,057, 13,589.38 and 4,677.54 is: 7,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057 : 13,589.38 = 4,677.54 : x
  2. Step 2: Convert to fraction form
    9,057/13,589.38 = 4,677.54/x
  3. Step 3: Cross multiply
    9,057x = 13,589.38 × 4,677.54
  4. Step 4: Simplify right side
    9,057x = 63,564,868.53
  5. Step 5: Solve for x
    x = 63,564,868.53/9,057
  6. Step 6: Final answer
    x = 7,018.31

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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.