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Finding the Fourth Proportional to 4,645.72, 6,969.30 and 1,567

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Solution

The fourth proportional to 4,645.72, 6,969.30 and 1,567 is: 2,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.72 : 6,969.30 = 1,567 : x
  2. Step 2: Convert to fraction form
    4,645.72/6,969.30 = 1,567/x
  3. Step 3: Cross multiply
    4,645.72x = 6,969.30 × 1,567
  4. Step 4: Simplify right side
    4,645.72x = 10,920,893.10
  5. Step 5: Solve for x
    x = 10,920,893.10/4,645.72
  6. Step 6: Final answer
    x = 2,350.74

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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.