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Finding the Fourth Proportional to 6,400.56, 8,824.56 and 4,693.70

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Solution

The fourth proportional to 6,400.56, 8,824.56 and 4,693.70 is: 6,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.56 : 8,824.56 = 4,693.70 : x
  2. Step 2: Convert to fraction form
    6,400.56/8,824.56 = 4,693.70/x
  3. Step 3: Cross multiply
    6,400.56x = 8,824.56 × 4,693.70
  4. Step 4: Simplify right side
    6,400.56x = 41,419,837.27
  5. Step 5: Solve for x
    x = 41,419,837.27/6,400.56
  6. Step 6: Final answer
    x = 6,471.28

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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.