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Finding the Fourth Proportional to 6,541, 9,815.82 and 2,437

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Solution

The fourth proportional to 6,541, 9,815.82 and 2,437 is: 3,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541 : 9,815.82 = 2,437 : x
  2. Step 2: Convert to fraction form
    6,541/9,815.82 = 2,437/x
  3. Step 3: Cross multiply
    6,541x = 9,815.82 × 2,437
  4. Step 4: Simplify right side
    6,541x = 23,921,153.34
  5. Step 5: Solve for x
    x = 23,921,153.34/6,541
  6. Step 6: Final answer
    x = 3,657.11

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