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Finding the Fourth Proportional to 9,832.88, 14,823.50 and 9,198.74

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Solution

The fourth proportional to 9,832.88, 14,823.50 and 9,198.74 is: 13,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.88 : 14,823.50 = 9,198.74 : x
  2. Step 2: Convert to fraction form
    9,832.88/14,823.50 = 9,198.74/x
  3. Step 3: Cross multiply
    9,832.88x = 14,823.50 × 9,198.74
  4. Step 4: Simplify right side
    9,832.88x = 136,357,522.39
  5. Step 5: Solve for x
    x = 136,357,522.39/9,832.88
  6. Step 6: Final answer
    x = 13,867.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.