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Finding the Fourth Proportional to 6,213.36, 8,570.16 and 5,947.68

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Solution

The fourth proportional to 6,213.36, 8,570.16 and 5,947.68 is: 8,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.36 : 8,570.16 = 5,947.68 : x
  2. Step 2: Convert to fraction form
    6,213.36/8,570.16 = 5,947.68/x
  3. Step 3: Cross multiply
    6,213.36x = 8,570.16 × 5,947.68
  4. Step 4: Simplify right side
    6,213.36x = 50,972,569.23
  5. Step 5: Solve for x
    x = 50,972,569.23/6,213.36
  6. Step 6: Final answer
    x = 8,203.70

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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.