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Finding the Fourth Proportional to 6,482.10, 9,724.70 and 2,099.56

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Solution

The fourth proportional to 6,482.10, 9,724.70 and 2,099.56 is: 3,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.10 : 9,724.70 = 2,099.56 : x
  2. Step 2: Convert to fraction form
    6,482.10/9,724.70 = 2,099.56/x
  3. Step 3: Cross multiply
    6,482.10x = 9,724.70 × 2,099.56
  4. Step 4: Simplify right side
    6,482.10x = 20,417,591.13
  5. Step 5: Solve for x
    x = 20,417,591.13/6,482.10
  6. Step 6: Final answer
    x = 3,149.84

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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.