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Finding the Fourth Proportional to 17,298.78, 25,923.81 and 9,892.14

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Solution

The fourth proportional to 17,298.78, 25,923.81 and 9,892.14 is: 14,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.78 : 25,923.81 = 9,892.14 : x
  2. Step 2: Convert to fraction form
    17,298.78/25,923.81 = 9,892.14/x
  3. Step 3: Cross multiply
    17,298.78x = 25,923.81 × 9,892.14
  4. Step 4: Simplify right side
    17,298.78x = 256,441,957.85
  5. Step 5: Solve for x
    x = 256,441,957.85/17,298.78
  6. Step 6: Final answer
    x = 14,824.28

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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.