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Finding the Fourth Proportional to 6,482.68, 9,724.35 and 3,153.99

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Solution

The fourth proportional to 6,482.68, 9,724.35 and 3,153.99 is: 4,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.68 : 9,724.35 = 3,153.99 : x
  2. Step 2: Convert to fraction form
    6,482.68/9,724.35 = 3,153.99/x
  3. Step 3: Cross multiply
    6,482.68x = 9,724.35 × 3,153.99
  4. Step 4: Simplify right side
    6,482.68x = 30,670,496.25
  5. Step 5: Solve for x
    x = 30,670,496.25/6,482.68
  6. Step 6: Final answer
    x = 4,731.14

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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.