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Finding the Fourth Proportional to 13,049.84, 19,589.64 and 9,922.16

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Solution

The fourth proportional to 13,049.84, 19,589.64 and 9,922.16 is: 14,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.84 : 19,589.64 = 9,922.16 : x
  2. Step 2: Convert to fraction form
    13,049.84/19,589.64 = 9,922.16/x
  3. Step 3: Cross multiply
    13,049.84x = 19,589.64 × 9,922.16
  4. Step 4: Simplify right side
    13,049.84x = 194,371,542.42
  5. Step 5: Solve for x
    x = 194,371,542.42/13,049.84
  6. Step 6: Final answer
    x = 14,894.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.