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Finding the Fourth Proportional to 11,842.16, 17,759.67 and 9,756.99

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Solution

The fourth proportional to 11,842.16, 17,759.67 and 9,756.99 is: 14,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.16 : 17,759.67 = 9,756.99 : x
  2. Step 2: Convert to fraction form
    11,842.16/17,759.67 = 9,756.99/x
  3. Step 3: Cross multiply
    11,842.16x = 17,759.67 × 9,756.99
  4. Step 4: Simplify right side
    11,842.16x = 173,280,922.59
  5. Step 5: Solve for x
    x = 173,280,922.59/11,842.16
  6. Step 6: Final answer
    x = 14,632.55

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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.