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Finding the Fourth Proportional to 9,573.75, 13,211.91 and 5,847.75

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Solution

The fourth proportional to 9,573.75, 13,211.91 and 5,847.75 is: 8,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.75 : 13,211.91 = 5,847.75 : x
  2. Step 2: Convert to fraction form
    9,573.75/13,211.91 = 5,847.75/x
  3. Step 3: Cross multiply
    9,573.75x = 13,211.91 × 5,847.75
  4. Step 4: Simplify right side
    9,573.75x = 77,259,946.70
  5. Step 5: Solve for x
    x = 77,259,946.70/9,573.75
  6. Step 6: Final answer
    x = 8,069.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.