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Finding the Fourth Proportional to 17,253.44, 25,884 and 9,458.24

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Solution

The fourth proportional to 17,253.44, 25,884 and 9,458.24 is: 14,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,253.44 : 25,884 = 9,458.24 : x
  2. Step 2: Convert to fraction form
    17,253.44/25,884 = 9,458.24/x
  3. Step 3: Cross multiply
    17,253.44x = 25,884 × 9,458.24
  4. Step 4: Simplify right side
    17,253.44x = 244,817,084.16
  5. Step 5: Solve for x
    x = 244,817,084.16/17,253.44
  6. Step 6: Final answer
    x = 14,189.47

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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.