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Finding the Fourth Proportional to 7,640.72, 11,460.16 and 2,094.55

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Solution

The fourth proportional to 7,640.72, 11,460.16 and 2,094.55 is: 3,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.72 : 11,460.16 = 2,094.55 : x
  2. Step 2: Convert to fraction form
    7,640.72/11,460.16 = 2,094.55/x
  3. Step 3: Cross multiply
    7,640.72x = 11,460.16 × 2,094.55
  4. Step 4: Simplify right side
    7,640.72x = 24,003,878.13
  5. Step 5: Solve for x
    x = 24,003,878.13/7,640.72
  6. Step 6: Final answer
    x = 3,141.57

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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.