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Finding the Fourth Proportional to 12,277.34, 16,937.34 and 8,297

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Solution

The fourth proportional to 12,277.34, 16,937.34 and 8,297 is: 11,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.34 : 16,937.34 = 8,297 : x
  2. Step 2: Convert to fraction form
    12,277.34/16,937.34 = 8,297/x
  3. Step 3: Cross multiply
    12,277.34x = 16,937.34 × 8,297
  4. Step 4: Simplify right side
    12,277.34x = 140,529,109.98
  5. Step 5: Solve for x
    x = 140,529,109.98/12,277.34
  6. Step 6: Final answer
    x = 11,446.22

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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.