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Finding the Fourth Proportional to 17,049.85, 25,574.71 and 7,678.89

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Solution

The fourth proportional to 17,049.85, 25,574.71 and 7,678.89 is: 11,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,049.85 : 25,574.71 = 7,678.89 : x
  2. Step 2: Convert to fraction form
    17,049.85/25,574.71 = 7,678.89/x
  3. Step 3: Cross multiply
    17,049.85x = 25,574.71 × 7,678.89
  4. Step 4: Simplify right side
    17,049.85x = 196,385,346.48
  5. Step 5: Solve for x
    x = 196,385,346.48/17,049.85
  6. Step 6: Final answer
    x = 11,518.31

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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.