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Finding the Fourth Proportional to 4,970.82, 7,452.49 and 4,285.56

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Solution

The fourth proportional to 4,970.82, 7,452.49 and 4,285.56 is: 6,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.82 : 7,452.49 = 4,285.56 : x
  2. Step 2: Convert to fraction form
    4,970.82/7,452.49 = 4,285.56/x
  3. Step 3: Cross multiply
    4,970.82x = 7,452.49 × 4,285.56
  4. Step 4: Simplify right side
    4,970.82x = 31,938,093.04
  5. Step 5: Solve for x
    x = 31,938,093.04/4,970.82
  6. Step 6: Final answer
    x = 6,425.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.