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Finding the Fourth Proportional to 4,886.12, 6,738.76 and 3,206.22

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Solution

The fourth proportional to 4,886.12, 6,738.76 and 3,206.22 is: 4,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.12 : 6,738.76 = 3,206.22 : x
  2. Step 2: Convert to fraction form
    4,886.12/6,738.76 = 3,206.22/x
  3. Step 3: Cross multiply
    4,886.12x = 6,738.76 × 3,206.22
  4. Step 4: Simplify right side
    4,886.12x = 21,605,947.09
  5. Step 5: Solve for x
    x = 21,605,947.09/4,886.12
  6. Step 6: Final answer
    x = 4,421.90

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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.