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Finding the Fourth Proportional to 6,482.94, 9,711.63 and 3,364.98

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Solution

The fourth proportional to 6,482.94, 9,711.63 and 3,364.98 is: 5,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.94 : 9,711.63 = 3,364.98 : x
  2. Step 2: Convert to fraction form
    6,482.94/9,711.63 = 3,364.98/x
  3. Step 3: Cross multiply
    6,482.94x = 9,711.63 × 3,364.98
  4. Step 4: Simplify right side
    6,482.94x = 32,679,440.72
  5. Step 5: Solve for x
    x = 32,679,440.72/6,482.94
  6. Step 6: Final answer
    x = 5,040.84

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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.