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Finding the Fourth Proportional to 8,796, 13,197.24 and 4,635.84

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Solution

The fourth proportional to 8,796, 13,197.24 and 4,635.84 is: 6,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,796 : 13,197.24 = 4,635.84 : x
  2. Step 2: Convert to fraction form
    8,796/13,197.24 = 4,635.84/x
  3. Step 3: Cross multiply
    8,796x = 13,197.24 × 4,635.84
  4. Step 4: Simplify right side
    8,796x = 61,180,293.08
  5. Step 5: Solve for x
    x = 61,180,293.08/8,796
  6. Step 6: Final answer
    x = 6,955.47

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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.