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Finding the Fourth Proportional to 6,521.54, 9,777.98 and 2,361

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Solution

The fourth proportional to 6,521.54, 9,777.98 and 2,361 is: 3,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.54 : 9,777.98 = 2,361 : x
  2. Step 2: Convert to fraction form
    6,521.54/9,777.98 = 2,361/x
  3. Step 3: Cross multiply
    6,521.54x = 9,777.98 × 2,361
  4. Step 4: Simplify right side
    6,521.54x = 23,085,810.78
  5. Step 5: Solve for x
    x = 23,085,810.78/6,521.54
  6. Step 6: Final answer
    x = 3,539.93

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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.