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Finding the Fourth Proportional to 5,944.73, 8,207.73 and 5,313.23

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Solution

The fourth proportional to 5,944.73, 8,207.73 and 5,313.23 is: 7,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.73 : 8,207.73 = 5,313.23 : x
  2. Step 2: Convert to fraction form
    5,944.73/8,207.73 = 5,313.23/x
  3. Step 3: Cross multiply
    5,944.73x = 8,207.73 × 5,313.23
  4. Step 4: Simplify right side
    5,944.73x = 43,609,547.01
  5. Step 5: Solve for x
    x = 43,609,547.01/5,944.73
  6. Step 6: Final answer
    x = 7,335.84

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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.