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Finding the Fourth Proportional to 13,004.70, 17,951.67 and 8,295.90

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Solution

The fourth proportional to 13,004.70, 17,951.67 and 8,295.90 is: 11,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.70 : 17,951.67 = 8,295.90 : x
  2. Step 2: Convert to fraction form
    13,004.70/17,951.67 = 8,295.90/x
  3. Step 3: Cross multiply
    13,004.70x = 17,951.67 × 8,295.90
  4. Step 4: Simplify right side
    13,004.70x = 148,925,259.15
  5. Step 5: Solve for x
    x = 148,925,259.15/13,004.70
  6. Step 6: Final answer
    x = 11,451.65

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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.