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Finding the Fourth Proportional to 10,583.87, 14,608.76 and 6,551.82

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Solution

The fourth proportional to 10,583.87, 14,608.76 and 6,551.82 is: 9,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.87 : 14,608.76 = 6,551.82 : x
  2. Step 2: Convert to fraction form
    10,583.87/14,608.76 = 6,551.82/x
  3. Step 3: Cross multiply
    10,583.87x = 14,608.76 × 6,551.82
  4. Step 4: Simplify right side
    10,583.87x = 95,713,933.18
  5. Step 5: Solve for x
    x = 95,713,933.18/10,583.87
  6. Step 6: Final answer
    x = 9,043.38

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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.