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Finding the Fourth Proportional to 7,636, 10,537.68 and 4,324

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Solution

The fourth proportional to 7,636, 10,537.68 and 4,324 is: 5,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636 : 10,537.68 = 4,324 : x
  2. Step 2: Convert to fraction form
    7,636/10,537.68 = 4,324/x
  3. Step 3: Cross multiply
    7,636x = 10,537.68 × 4,324
  4. Step 4: Simplify right side
    7,636x = 45,564,928.32
  5. Step 5: Solve for x
    x = 45,564,928.32/7,636
  6. Step 6: Final answer
    x = 5,967.12

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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.