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Finding the Fourth Proportional to 6,570.84, 9,853.89 and 3,281.69

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Solution

The fourth proportional to 6,570.84, 9,853.89 and 3,281.69 is: 4,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.84 : 9,853.89 = 3,281.69 : x
  2. Step 2: Convert to fraction form
    6,570.84/9,853.89 = 3,281.69/x
  3. Step 3: Cross multiply
    6,570.84x = 9,853.89 × 3,281.69
  4. Step 4: Simplify right side
    6,570.84x = 32,337,363.00
  5. Step 5: Solve for x
    x = 32,337,363.00/6,570.84
  6. Step 6: Final answer
    x = 4,921.34

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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.