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Finding the Fourth Proportional to 34,135.25, 51,211.52 and 9,511.25

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Solution

The fourth proportional to 34,135.25, 51,211.52 and 9,511.25 is: 14,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,135.25 : 51,211.52 = 9,511.25 : x
  2. Step 2: Convert to fraction form
    34,135.25/51,211.52 = 9,511.25/x
  3. Step 3: Cross multiply
    34,135.25x = 51,211.52 × 9,511.25
  4. Step 4: Simplify right side
    34,135.25x = 487,085,522.04
  5. Step 5: Solve for x
    x = 487,085,522.04/34,135.25
  6. Step 6: Final answer
    x = 14,269.28

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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.