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Finding the Fourth Proportional to 17,753.75, 24,500.10 and 9,795.93

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Solution

The fourth proportional to 17,753.75, 24,500.10 and 9,795.93 is: 13,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.75 : 24,500.10 = 9,795.93 : x
  2. Step 2: Convert to fraction form
    17,753.75/24,500.10 = 9,795.93/x
  3. Step 3: Cross multiply
    17,753.75x = 24,500.10 × 9,795.93
  4. Step 4: Simplify right side
    17,753.75x = 240,001,142.09
  5. Step 5: Solve for x
    x = 240,001,142.09/17,753.75
  6. Step 6: Final answer
    x = 13,518.34

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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.