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Finding the Fourth Proportional to 6,525.27, 9,787.82 and 1,594.95

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Solution

The fourth proportional to 6,525.27, 9,787.82 and 1,594.95 is: 2,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.27 : 9,787.82 = 1,594.95 : x
  2. Step 2: Convert to fraction form
    6,525.27/9,787.82 = 1,594.95/x
  3. Step 3: Cross multiply
    6,525.27x = 9,787.82 × 1,594.95
  4. Step 4: Simplify right side
    6,525.27x = 15,611,057.18
  5. Step 5: Solve for x
    x = 15,611,057.18/6,525.27
  6. Step 6: Final answer
    x = 2,392.40

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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.