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Finding the Fourth Proportional to 7,636, 10,535.64 and 4,610.38

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Solution

The fourth proportional to 7,636, 10,535.64 and 4,610.38 is: 6,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636 : 10,535.64 = 4,610.38 : x
  2. Step 2: Convert to fraction form
    7,636/10,535.64 = 4,610.38/x
  3. Step 3: Cross multiply
    7,636x = 10,535.64 × 4,610.38
  4. Step 4: Simplify right side
    7,636x = 48,573,303.94
  5. Step 5: Solve for x
    x = 48,573,303.94/7,636
  6. Step 6: Final answer
    x = 6,361.09

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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.