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Finding the Fourth Proportional to 6,431.65, 9,648.20 and 2,048.10

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Solution

The fourth proportional to 6,431.65, 9,648.20 and 2,048.10 is: 3,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.65 : 9,648.20 = 2,048.10 : x
  2. Step 2: Convert to fraction form
    6,431.65/9,648.20 = 2,048.10/x
  3. Step 3: Cross multiply
    6,431.65x = 9,648.20 × 2,048.10
  4. Step 4: Simplify right side
    6,431.65x = 19,760,478.42
  5. Step 5: Solve for x
    x = 19,760,478.42/6,431.65
  6. Step 6: Final answer
    x = 3,072.38

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1.5x scale

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.