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Finding the Fourth Proportional to 7,961.40, 11,912.08 and 7,153

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Solution

The fourth proportional to 7,961.40, 11,912.08 and 7,153 is: 10,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.40 : 11,912.08 = 7,153 : x
  2. Step 2: Convert to fraction form
    7,961.40/11,912.08 = 7,153/x
  3. Step 3: Cross multiply
    7,961.40x = 11,912.08 × 7,153
  4. Step 4: Simplify right side
    7,961.40x = 85,207,108.24
  5. Step 5: Solve for x
    x = 85,207,108.24/7,961.40
  6. Step 6: Final answer
    x = 10,702.53

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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.