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Finding the Fourth Proportional to 6,492.18, 9,739.21 and 2,048.34

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Solution

The fourth proportional to 6,492.18, 9,739.21 and 2,048.34 is: 3,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.18 : 9,739.21 = 2,048.34 : x
  2. Step 2: Convert to fraction form
    6,492.18/9,739.21 = 2,048.34/x
  3. Step 3: Cross multiply
    6,492.18x = 9,739.21 × 2,048.34
  4. Step 4: Simplify right side
    6,492.18x = 19,949,199.63
  5. Step 5: Solve for x
    x = 19,949,199.63/6,492.18
  6. Step 6: Final answer
    x = 3,072.80

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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.