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Finding the Fourth Proportional to 17,751.93, 24,497.75 and 9,794.15

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Solution

The fourth proportional to 17,751.93, 24,497.75 and 9,794.15 is: 13,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.93 : 24,497.75 = 9,794.15 : x
  2. Step 2: Convert to fraction form
    17,751.93/24,497.75 = 9,794.15/x
  3. Step 3: Cross multiply
    17,751.93x = 24,497.75 × 9,794.15
  4. Step 4: Simplify right side
    17,751.93x = 239,934,638.16
  5. Step 5: Solve for x
    x = 239,934,638.16/17,751.93
  6. Step 6: Final answer
    x = 13,515.97

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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.