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Finding the Fourth Proportional to 17,590.59, 24,275 and 9,632.97

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Solution

The fourth proportional to 17,590.59, 24,275 and 9,632.97 is: 13,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,590.59 : 24,275 = 9,632.97 : x
  2. Step 2: Convert to fraction form
    17,590.59/24,275 = 9,632.97/x
  3. Step 3: Cross multiply
    17,590.59x = 24,275 × 9,632.97
  4. Step 4: Simplify right side
    17,590.59x = 233,840,346.75
  5. Step 5: Solve for x
    x = 233,840,346.75/17,590.59
  6. Step 6: Final answer
    x = 13,293.49

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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.