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Finding the Fourth Proportional to 34,647.70, 51,971.46 and 8,352.40

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Solution

The fourth proportional to 34,647.70, 51,971.46 and 8,352.40 is: 12,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,647.70 : 51,971.46 = 8,352.40 : x
  2. Step 2: Convert to fraction form
    34,647.70/51,971.46 = 8,352.40/x
  3. Step 3: Cross multiply
    34,647.70x = 51,971.46 × 8,352.40
  4. Step 4: Simplify right side
    34,647.70x = 434,086,422.50
  5. Step 5: Solve for x
    x = 434,086,422.50/34,647.70
  6. Step 6: Final answer
    x = 12,528.58

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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.