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Finding the Fourth Proportional to 20,592, 30,881.93 and 6,551.46

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Solution

The fourth proportional to 20,592, 30,881.93 and 6,551.46 is: 9,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592 : 30,881.93 = 6,551.46 : x
  2. Step 2: Convert to fraction form
    20,592/30,881.93 = 6,551.46/x
  3. Step 3: Cross multiply
    20,592x = 30,881.93 × 6,551.46
  4. Step 4: Simplify right side
    20,592x = 202,321,696.36
  5. Step 5: Solve for x
    x = 202,321,696.36/20,592
  6. Step 6: Final answer
    x = 9,825.26

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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.