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Finding the Fourth Proportional to 6,482.52, 9,716.46 and 2,582.40

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Solution

The fourth proportional to 6,482.52, 9,716.46 and 2,582.40 is: 3,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.52 : 9,716.46 = 2,582.40 : x
  2. Step 2: Convert to fraction form
    6,482.52/9,716.46 = 2,582.40/x
  3. Step 3: Cross multiply
    6,482.52x = 9,716.46 × 2,582.40
  4. Step 4: Simplify right side
    6,482.52x = 25,091,786.30
  5. Step 5: Solve for x
    x = 25,091,786.30/6,482.52
  6. Step 6: Final answer
    x = 3,870.68

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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.