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Finding the Fourth Proportional to 34,135.70, 51,203.55 and 9,511.70

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Solution

The fourth proportional to 34,135.70, 51,203.55 and 9,511.70 is: 14,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,135.70 : 51,203.55 = 9,511.70 : x
  2. Step 2: Convert to fraction form
    34,135.70/51,203.55 = 9,511.70/x
  3. Step 3: Cross multiply
    34,135.70x = 51,203.55 × 9,511.70
  4. Step 4: Simplify right side
    34,135.70x = 487,032,806.54
  5. Step 5: Solve for x
    x = 487,032,806.54/34,135.70
  6. Step 6: Final answer
    x = 14,267.55

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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.