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Finding the Fourth Proportional to 4,803.76, 6,629.18 and 2,814.22

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Solution

The fourth proportional to 4,803.76, 6,629.18 and 2,814.22 is: 3,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.76 : 6,629.18 = 2,814.22 : x
  2. Step 2: Convert to fraction form
    4,803.76/6,629.18 = 2,814.22/x
  3. Step 3: Cross multiply
    4,803.76x = 6,629.18 × 2,814.22
  4. Step 4: Simplify right side
    4,803.76x = 18,655,970.94
  5. Step 5: Solve for x
    x = 18,655,970.94/4,803.76
  6. Step 6: Final answer
    x = 3,883.62

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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.