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Finding the Fourth Proportional to 9,819.40, 14,729.10 and 9,689.80

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Solution

The fourth proportional to 9,819.40, 14,729.10 and 9,689.80 is: 14,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.40 : 14,729.10 = 9,689.80 : x
  2. Step 2: Convert to fraction form
    9,819.40/14,729.10 = 9,689.80/x
  3. Step 3: Cross multiply
    9,819.40x = 14,729.10 × 9,689.80
  4. Step 4: Simplify right side
    9,819.40x = 142,722,033.18
  5. Step 5: Solve for x
    x = 142,722,033.18/9,819.40
  6. Step 6: Final answer
    x = 14,534.70

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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.