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Finding the Fourth Proportional to 6,482.98, 9,724.62 and 4,849.90

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Solution

The fourth proportional to 6,482.98, 9,724.62 and 4,849.90 is: 7,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.98 : 9,724.62 = 4,849.90 : x
  2. Step 2: Convert to fraction form
    6,482.98/9,724.62 = 4,849.90/x
  3. Step 3: Cross multiply
    6,482.98x = 9,724.62 × 4,849.90
  4. Step 4: Simplify right side
    6,482.98x = 47,163,434.54
  5. Step 5: Solve for x
    x = 47,163,434.54/6,482.98
  6. Step 6: Final answer
    x = 7,274.96

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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.