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Finding the Fourth Proportional to 6,482.64, 9,724.92 and 1,865.04

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Solution

The fourth proportional to 6,482.64, 9,724.92 and 1,865.04 is: 2,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.64 : 9,724.92 = 1,865.04 : x
  2. Step 2: Convert to fraction form
    6,482.64/9,724.92 = 1,865.04/x
  3. Step 3: Cross multiply
    6,482.64x = 9,724.92 × 1,865.04
  4. Step 4: Simplify right side
    6,482.64x = 18,137,364.80
  5. Step 5: Solve for x
    x = 18,137,364.80/6,482.64
  6. Step 6: Final answer
    x = 2,797.84

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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.