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Finding the Fourth Proportional to 3,567.72, 5,351.57 and 970.65

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Solution

The fourth proportional to 3,567.72, 5,351.57 and 970.65 is: 1,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.72 : 5,351.57 = 970.65 : x
  2. Step 2: Convert to fraction form
    3,567.72/5,351.57 = 970.65/x
  3. Step 3: Cross multiply
    3,567.72x = 5,351.57 × 970.65
  4. Step 4: Simplify right side
    3,567.72x = 5,194,496.57
  5. Step 5: Solve for x
    x = 5,194,496.57/3,567.72
  6. Step 6: Final answer
    x = 1,455.97

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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.