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Finding the Fourth Proportional to 6,803.76, 10,164.30 and 4,318.68

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Solution

The fourth proportional to 6,803.76, 10,164.30 and 4,318.68 is: 6,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.76 : 10,164.30 = 4,318.68 : x
  2. Step 2: Convert to fraction form
    6,803.76/10,164.30 = 4,318.68/x
  3. Step 3: Cross multiply
    6,803.76x = 10,164.30 × 4,318.68
  4. Step 4: Simplify right side
    6,803.76x = 43,896,359.12
  5. Step 5: Solve for x
    x = 43,896,359.12/6,803.76
  6. Step 6: Final answer
    x = 6,451.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.