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Finding the Fourth Proportional to 18,977.58, 28,466.28 and 6,497.69

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Solution

The fourth proportional to 18,977.58, 28,466.28 and 6,497.69 is: 9,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,977.58 : 28,466.28 = 6,497.69 : x
  2. Step 2: Convert to fraction form
    18,977.58/28,466.28 = 6,497.69/x
  3. Step 3: Cross multiply
    18,977.58x = 28,466.28 × 6,497.69
  4. Step 4: Simplify right side
    18,977.58x = 184,964,920.56
  5. Step 5: Solve for x
    x = 184,964,920.56/18,977.58
  6. Step 6: Final answer
    x = 9,746.50

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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.