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Finding the Fourth Proportional to 6,430.54, 9,645.82 and 2,048

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Solution

The fourth proportional to 6,430.54, 9,645.82 and 2,048 is: 3,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.54 : 9,645.82 = 2,048 : x
  2. Step 2: Convert to fraction form
    6,430.54/9,645.82 = 2,048/x
  3. Step 3: Cross multiply
    6,430.54x = 9,645.82 × 2,048
  4. Step 4: Simplify right side
    6,430.54x = 19,754,639.36
  5. Step 5: Solve for x
    x = 19,754,639.36/6,430.54
  6. Step 6: Final answer
    x = 3,072.00

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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.