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Finding the Fourth Proportional to 7,196, 10,797.24 and 4,118

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Solution

The fourth proportional to 7,196, 10,797.24 and 4,118 is: 6,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196 : 10,797.24 = 4,118 : x
  2. Step 2: Convert to fraction form
    7,196/10,797.24 = 4,118/x
  3. Step 3: Cross multiply
    7,196x = 10,797.24 × 4,118
  4. Step 4: Simplify right side
    7,196x = 44,463,034.32
  5. Step 5: Solve for x
    x = 44,463,034.32/7,196
  6. Step 6: Final answer
    x = 6,178.85

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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.