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Finding the Fourth Proportional to 6,482.70, 9,724.05 and 6,098.70

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Solution

The fourth proportional to 6,482.70, 9,724.05 and 6,098.70 is: 9,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.70 : 9,724.05 = 6,098.70 : x
  2. Step 2: Convert to fraction form
    6,482.70/9,724.05 = 6,098.70/x
  3. Step 3: Cross multiply
    6,482.70x = 9,724.05 × 6,098.70
  4. Step 4: Simplify right side
    6,482.70x = 59,304,063.74
  5. Step 5: Solve for x
    x = 59,304,063.74/6,482.70
  6. Step 6: Final answer
    x = 9,148.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.