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Finding the Fourth Proportional to 6,460.80, 9,686.40 and 2,563.20

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Solution

The fourth proportional to 6,460.80, 9,686.40 and 2,563.20 is: 3,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.80 : 9,686.40 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    6,460.80/9,686.40 = 2,563.20/x
  3. Step 3: Cross multiply
    6,460.80x = 9,686.40 × 2,563.20
  4. Step 4: Simplify right side
    6,460.80x = 24,828,180.48
  5. Step 5: Solve for x
    x = 24,828,180.48/6,460.80
  6. Step 6: Final answer
    x = 3,842.90

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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.