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Finding the Fourth Proportional to 17,202.96, 25,762.88 and 9,784.94

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Solution

The fourth proportional to 17,202.96, 25,762.88 and 9,784.94 is: 14,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.96 : 25,762.88 = 9,784.94 : x
  2. Step 2: Convert to fraction form
    17,202.96/25,762.88 = 9,784.94/x
  3. Step 3: Cross multiply
    17,202.96x = 25,762.88 × 9,784.94
  4. Step 4: Simplify right side
    17,202.96x = 252,088,057.29
  5. Step 5: Solve for x
    x = 252,088,057.29/17,202.96
  6. Step 6: Final answer
    x = 14,653.76

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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.