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Finding the Fourth Proportional to 17,957.77, 24,780.74 and 9,998.57

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Solution

The fourth proportional to 17,957.77, 24,780.74 and 9,998.57 is: 13,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.77 : 24,780.74 = 9,998.57 : x
  2. Step 2: Convert to fraction form
    17,957.77/24,780.74 = 9,998.57/x
  3. Step 3: Cross multiply
    17,957.77x = 24,780.74 × 9,998.57
  4. Step 4: Simplify right side
    17,957.77x = 247,771,975.50
  5. Step 5: Solve for x
    x = 247,771,975.50/17,957.77
  6. Step 6: Final answer
    x = 13,797.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.