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Finding the Fourth Proportional to 17,875.62, 24,668.82 and 9,809.64

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Solution

The fourth proportional to 17,875.62, 24,668.82 and 9,809.64 is: 13,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.62 : 24,668.82 = 9,809.64 : x
  2. Step 2: Convert to fraction form
    17,875.62/24,668.82 = 9,809.64/x
  3. Step 3: Cross multiply
    17,875.62x = 24,668.82 × 9,809.64
  4. Step 4: Simplify right side
    17,875.62x = 241,992,243.42
  5. Step 5: Solve for x
    x = 241,992,243.42/17,875.62
  6. Step 6: Final answer
    x = 13,537.56

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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.