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Finding the Fourth Proportional to 17,846.74, 24,628.62 and 9,889.48

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Solution

The fourth proportional to 17,846.74, 24,628.62 and 9,889.48 is: 13,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.74 : 24,628.62 = 9,889.48 : x
  2. Step 2: Convert to fraction form
    17,846.74/24,628.62 = 9,889.48/x
  3. Step 3: Cross multiply
    17,846.74x = 24,628.62 × 9,889.48
  4. Step 4: Simplify right side
    17,846.74x = 243,564,244.92
  5. Step 5: Solve for x
    x = 243,564,244.92/17,846.74
  6. Step 6: Final answer
    x = 13,647.55

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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.