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Finding the Fourth Proportional to 9,697.80, 14,546.70 and 8,920.20

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Solution

The fourth proportional to 9,697.80, 14,546.70 and 8,920.20 is: 13,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.80 : 14,546.70 = 8,920.20 : x
  2. Step 2: Convert to fraction form
    9,697.80/14,546.70 = 8,920.20/x
  3. Step 3: Cross multiply
    9,697.80x = 14,546.70 × 8,920.20
  4. Step 4: Simplify right side
    9,697.80x = 129,759,473.34
  5. Step 5: Solve for x
    x = 129,759,473.34/9,697.80
  6. Step 6: Final answer
    x = 13,380.30

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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.