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Finding the Fourth Proportional to 6,816.92, 9,399.46 and 4,693.58

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Solution

The fourth proportional to 6,816.92, 9,399.46 and 4,693.58 is: 6,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.92 : 9,399.46 = 4,693.58 : x
  2. Step 2: Convert to fraction form
    6,816.92/9,399.46 = 4,693.58/x
  3. Step 3: Cross multiply
    6,816.92x = 9,399.46 × 4,693.58
  4. Step 4: Simplify right side
    6,816.92x = 44,117,117.47
  5. Step 5: Solve for x
    x = 44,117,117.47/6,816.92
  6. Step 6: Final answer
    x = 6,471.71

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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.