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Finding the Fourth Proportional to 17,589.66, 24,274 and 9,632.64

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Solution

The fourth proportional to 17,589.66, 24,274 and 9,632.64 is: 13,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.66 : 24,274 = 9,632.64 : x
  2. Step 2: Convert to fraction form
    17,589.66/24,274 = 9,632.64/x
  3. Step 3: Cross multiply
    17,589.66x = 24,274 × 9,632.64
  4. Step 4: Simplify right side
    17,589.66x = 233,822,703.36
  5. Step 5: Solve for x
    x = 233,822,703.36/17,589.66
  6. Step 6: Final answer
    x = 13,293.19

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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.