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Finding the Fourth Proportional to 9,522.84, 13,132.92 and 7,934.76

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Solution

The fourth proportional to 9,522.84, 13,132.92 and 7,934.76 is: 10,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.84 : 13,132.92 = 7,934.76 : x
  2. Step 2: Convert to fraction form
    9,522.84/13,132.92 = 7,934.76/x
  3. Step 3: Cross multiply
    9,522.84x = 13,132.92 × 7,934.76
  4. Step 4: Simplify right side
    9,522.84x = 104,206,568.30
  5. Step 5: Solve for x
    x = 104,206,568.30/9,522.84
  6. Step 6: Final answer
    x = 10,942.80

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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.