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Finding the Fourth Proportional to 20,597.43, 30,905.37 and 9,498.17

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Solution

The fourth proportional to 20,597.43, 30,905.37 and 9,498.17 is: 14,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.43 : 30,905.37 = 9,498.17 : x
  2. Step 2: Convert to fraction form
    20,597.43/30,905.37 = 9,498.17/x
  3. Step 3: Cross multiply
    20,597.43x = 30,905.37 × 9,498.17
  4. Step 4: Simplify right side
    20,597.43x = 293,544,303.65
  5. Step 5: Solve for x
    x = 293,544,303.65/20,597.43
  6. Step 6: Final answer
    x = 14,251.50

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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.