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Finding the Fourth Proportional to 9,106.75, 13,660.13 and 2,950.75

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Solution

The fourth proportional to 9,106.75, 13,660.13 and 2,950.75 is: 4,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.75 : 13,660.13 = 2,950.75 : x
  2. Step 2: Convert to fraction form
    9,106.75/13,660.13 = 2,950.75/x
  3. Step 3: Cross multiply
    9,106.75x = 13,660.13 × 2,950.75
  4. Step 4: Simplify right side
    9,106.75x = 40,307,628.60
  5. Step 5: Solve for x
    x = 40,307,628.60/9,106.75
  6. Step 6: Final answer
    x = 4,426.13

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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.