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Finding the Fourth Proportional to 6,227.77, 8,594 and 3,538.63

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Solution

The fourth proportional to 6,227.77, 8,594 and 3,538.63 is: 4,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.77 : 8,594 = 3,538.63 : x
  2. Step 2: Convert to fraction form
    6,227.77/8,594 = 3,538.63/x
  3. Step 3: Cross multiply
    6,227.77x = 8,594 × 3,538.63
  4. Step 4: Simplify right side
    6,227.77x = 30,410,986.22
  5. Step 5: Solve for x
    x = 30,410,986.22/6,227.77
  6. Step 6: Final answer
    x = 4,883.13

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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.