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Finding the Fourth Proportional to 34,467.57, 51,701.36 and 9,843.57

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Solution

The fourth proportional to 34,467.57, 51,701.36 and 9,843.57 is: 14,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,467.57 : 51,701.36 = 9,843.57 : x
  2. Step 2: Convert to fraction form
    34,467.57/51,701.36 = 9,843.57/x
  3. Step 3: Cross multiply
    34,467.57x = 51,701.36 × 9,843.57
  4. Step 4: Simplify right side
    34,467.57x = 508,925,907.04
  5. Step 5: Solve for x
    x = 508,925,907.04/34,467.57
  6. Step 6: Final answer
    x = 14,765.36

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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.