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Finding the Fourth Proportional to 6,430.92, 9,648.06 and 2,048.40

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Solution

The fourth proportional to 6,430.92, 9,648.06 and 2,048.40 is: 3,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.92 : 9,648.06 = 2,048.40 : x
  2. Step 2: Convert to fraction form
    6,430.92/9,648.06 = 2,048.40/x
  3. Step 3: Cross multiply
    6,430.92x = 9,648.06 × 2,048.40
  4. Step 4: Simplify right side
    6,430.92x = 19,763,086.10
  5. Step 5: Solve for x
    x = 19,763,086.10/6,430.92
  6. Step 6: Final answer
    x = 3,073.14

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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.