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Finding the Fourth Proportional to 6,482.46, 9,730.98 and 3,855.63

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Solution

The fourth proportional to 6,482.46, 9,730.98 and 3,855.63 is: 5,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.46 : 9,730.98 = 3,855.63 : x
  2. Step 2: Convert to fraction form
    6,482.46/9,730.98 = 3,855.63/x
  3. Step 3: Cross multiply
    6,482.46x = 9,730.98 × 3,855.63
  4. Step 4: Simplify right side
    6,482.46x = 37,519,058.42
  5. Step 5: Solve for x
    x = 37,519,058.42/6,482.46
  6. Step 6: Final answer
    x = 5,787.78

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1.5x scale

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.