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Finding the Fourth Proportional to 8,164.26, 12,248.28 and 2,970

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Solution

The fourth proportional to 8,164.26, 12,248.28 and 2,970 is: 4,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.26 : 12,248.28 = 2,970 : x
  2. Step 2: Convert to fraction form
    8,164.26/12,248.28 = 2,970/x
  3. Step 3: Cross multiply
    8,164.26x = 12,248.28 × 2,970
  4. Step 4: Simplify right side
    8,164.26x = 36,377,391.60
  5. Step 5: Solve for x
    x = 36,377,391.60/8,164.26
  6. Step 6: Final answer
    x = 4,455.69

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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.