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Finding the Fourth Proportional to 6,574.49, 9,855.35 and 2,624.60

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Solution

The fourth proportional to 6,574.49, 9,855.35 and 2,624.60 is: 3,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.49 : 9,855.35 = 2,624.60 : x
  2. Step 2: Convert to fraction form
    6,574.49/9,855.35 = 2,624.60/x
  3. Step 3: Cross multiply
    6,574.49x = 9,855.35 × 2,624.60
  4. Step 4: Simplify right side
    6,574.49x = 25,866,351.61
  5. Step 5: Solve for x
    x = 25,866,351.61/6,574.49
  6. Step 6: Final answer
    x = 3,934.35

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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.