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Finding the Fourth Proportional to 12,160.46, 16,782.46 and 6,856.38

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Solution

The fourth proportional to 12,160.46, 16,782.46 and 6,856.38 is: 9,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.46 : 16,782.46 = 6,856.38 : x
  2. Step 2: Convert to fraction form
    12,160.46/16,782.46 = 6,856.38/x
  3. Step 3: Cross multiply
    12,160.46x = 16,782.46 × 6,856.38
  4. Step 4: Simplify right side
    12,160.46x = 115,066,905.95
  5. Step 5: Solve for x
    x = 115,066,905.95/12,160.46
  6. Step 6: Final answer
    x = 9,462.38

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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.