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Finding the Fourth Proportional to 7,792.56, 10,753.92 and 4,255.74

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Solution

The fourth proportional to 7,792.56, 10,753.92 and 4,255.74 is: 5,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.56 : 10,753.92 = 4,255.74 : x
  2. Step 2: Convert to fraction form
    7,792.56/10,753.92 = 4,255.74/x
  3. Step 3: Cross multiply
    7,792.56x = 10,753.92 × 4,255.74
  4. Step 4: Simplify right side
    7,792.56x = 45,765,887.50
  5. Step 5: Solve for x
    x = 45,765,887.50/7,792.56
  6. Step 6: Final answer
    x = 5,873.02

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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.