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Finding the Fourth Proportional to 6,563.04, 9,848.40 and 2,461.92

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Solution

The fourth proportional to 6,563.04, 9,848.40 and 2,461.92 is: 3,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.04 : 9,848.40 = 2,461.92 : x
  2. Step 2: Convert to fraction form
    6,563.04/9,848.40 = 2,461.92/x
  3. Step 3: Cross multiply
    6,563.04x = 9,848.40 × 2,461.92
  4. Step 4: Simplify right side
    6,563.04x = 24,245,972.93
  5. Step 5: Solve for x
    x = 24,245,972.93/6,563.04
  6. Step 6: Final answer
    x = 3,694.32

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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.