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Finding the Fourth Proportional to 7,805.96, 11,697.49 and 4,640.28

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Solution

The fourth proportional to 7,805.96, 11,697.49 and 4,640.28 is: 6,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.96 : 11,697.49 = 4,640.28 : x
  2. Step 2: Convert to fraction form
    7,805.96/11,697.49 = 4,640.28/x
  3. Step 3: Cross multiply
    7,805.96x = 11,697.49 × 4,640.28
  4. Step 4: Simplify right side
    7,805.96x = 54,279,628.90
  5. Step 5: Solve for x
    x = 54,279,628.90/7,805.96
  6. Step 6: Final answer
    x = 6,953.61

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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.