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Finding the Fourth Proportional to 17,800, 24,563.51 and 9,842.02

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Solution

The fourth proportional to 17,800, 24,563.51 and 9,842.02 is: 13,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800 : 24,563.51 = 9,842.02 : x
  2. Step 2: Convert to fraction form
    17,800/24,563.51 = 9,842.02/x
  3. Step 3: Cross multiply
    17,800x = 24,563.51 × 9,842.02
  4. Step 4: Simplify right side
    17,800x = 241,754,556.69
  5. Step 5: Solve for x
    x = 241,754,556.69/17,800
  6. Step 6: Final answer
    x = 13,581.72

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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.