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Finding the Fourth Proportional to 9,884.20, 14,809.20 and 5,197.24

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Solution

The fourth proportional to 9,884.20, 14,809.20 and 5,197.24 is: 7,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.20 : 14,809.20 = 5,197.24 : x
  2. Step 2: Convert to fraction form
    9,884.20/14,809.20 = 5,197.24/x
  3. Step 3: Cross multiply
    9,884.20x = 14,809.20 × 5,197.24
  4. Step 4: Simplify right side
    9,884.20x = 76,966,966.61
  5. Step 5: Solve for x
    x = 76,966,966.61/9,884.20
  6. Step 6: Final answer
    x = 7,786.87

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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.