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Finding the Fourth Proportional to 12,277.34, 16,942.74 and 6,688.34

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Solution

The fourth proportional to 12,277.34, 16,942.74 and 6,688.34 is: 9,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.34 : 16,942.74 = 6,688.34 : x
  2. Step 2: Convert to fraction form
    12,277.34/16,942.74 = 6,688.34/x
  3. Step 3: Cross multiply
    12,277.34x = 16,942.74 × 6,688.34
  4. Step 4: Simplify right side
    12,277.34x = 113,318,805.65
  5. Step 5: Solve for x
    x = 113,318,805.65/12,277.34
  6. Step 6: Final answer
    x = 9,229.92

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1.5x scale

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.