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Finding the Fourth Proportional to 6,217, 8,574.24 and 3,857.56

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Solution

The fourth proportional to 6,217, 8,574.24 and 3,857.56 is: 5,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217 : 8,574.24 = 3,857.56 : x
  2. Step 2: Convert to fraction form
    6,217/8,574.24 = 3,857.56/x
  3. Step 3: Cross multiply
    6,217x = 8,574.24 × 3,857.56
  4. Step 4: Simplify right side
    6,217x = 33,075,645.25
  5. Step 5: Solve for x
    x = 33,075,645.25/6,217
  6. Step 6: Final answer
    x = 5,320.19

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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.