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Finding the Fourth Proportional to 3,567.98, 5,351.43 and 971.12

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Solution

The fourth proportional to 3,567.98, 5,351.43 and 971.12 is: 1,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.98 : 5,351.43 = 971.12 : x
  2. Step 2: Convert to fraction form
    3,567.98/5,351.43 = 971.12/x
  3. Step 3: Cross multiply
    3,567.98x = 5,351.43 × 971.12
  4. Step 4: Simplify right side
    3,567.98x = 5,196,880.70
  5. Step 5: Solve for x
    x = 5,196,880.70/3,567.98
  6. Step 6: Final answer
    x = 1,456.53

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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.