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Finding the Fourth Proportional to 7,644.65, 10,548.38 and 4,807.10

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Solution

The fourth proportional to 7,644.65, 10,548.38 and 4,807.10 is: 6,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.65 : 10,548.38 = 4,807.10 : x
  2. Step 2: Convert to fraction form
    7,644.65/10,548.38 = 4,807.10/x
  3. Step 3: Cross multiply
    7,644.65x = 10,548.38 × 4,807.10
  4. Step 4: Simplify right side
    7,644.65x = 50,707,123.56
  5. Step 5: Solve for x
    x = 50,707,123.56/7,644.65
  6. Step 6: Final answer
    x = 6,633.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.