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Finding the Fourth Proportional to 14,487.92, 21,734.64 and 6,167.76

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Solution

The fourth proportional to 14,487.92, 21,734.64 and 6,167.76 is: 9,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.92 : 21,734.64 = 6,167.76 : x
  2. Step 2: Convert to fraction form
    14,487.92/21,734.64 = 6,167.76/x
  3. Step 3: Cross multiply
    14,487.92x = 21,734.64 × 6,167.76
  4. Step 4: Simplify right side
    14,487.92x = 134,054,043.21
  5. Step 5: Solve for x
    x = 134,054,043.21/14,487.92
  6. Step 6: Final answer
    x = 9,252.81

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1.5x scale

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.