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Finding the Fourth Proportional to 5,313.06, 7,979.22 and 4,656.96

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Solution

The fourth proportional to 5,313.06, 7,979.22 and 4,656.96 is: 6,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.06 : 7,979.22 = 4,656.96 : x
  2. Step 2: Convert to fraction form
    5,313.06/7,979.22 = 4,656.96/x
  3. Step 3: Cross multiply
    5,313.06x = 7,979.22 × 4,656.96
  4. Step 4: Simplify right side
    5,313.06x = 37,158,908.37
  5. Step 5: Solve for x
    x = 37,158,908.37/5,313.06
  6. Step 6: Final answer
    x = 6,993.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.