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Finding the Fourth Proportional to 9,809.80, 14,714.70 and 9,680.20

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Solution

The fourth proportional to 9,809.80, 14,714.70 and 9,680.20 is: 14,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.80 : 14,714.70 = 9,680.20 : x
  2. Step 2: Convert to fraction form
    9,809.80/14,714.70 = 9,680.20/x
  3. Step 3: Cross multiply
    9,809.80x = 14,714.70 × 9,680.20
  4. Step 4: Simplify right side
    9,809.80x = 142,441,238.94
  5. Step 5: Solve for x
    x = 142,441,238.94/9,809.80
  6. Step 6: Final answer
    x = 14,520.30

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Double scale
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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.