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Finding the Fourth Proportional to 9,311.80, 13,967.70 and 8,947.30

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Solution

The fourth proportional to 9,311.80, 13,967.70 and 8,947.30 is: 13,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.80 : 13,967.70 = 8,947.30 : x
  2. Step 2: Convert to fraction form
    9,311.80/13,967.70 = 8,947.30/x
  3. Step 3: Cross multiply
    9,311.80x = 13,967.70 × 8,947.30
  4. Step 4: Simplify right side
    9,311.80x = 124,973,202.21
  5. Step 5: Solve for x
    x = 124,973,202.21/9,311.80
  6. Step 6: Final answer
    x = 13,420.95

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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.