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Finding the Fourth Proportional to 12,771.65, 17,624.54 and 7,106.11

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Solution

The fourth proportional to 12,771.65, 17,624.54 and 7,106.11 is: 9,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.65 : 17,624.54 = 7,106.11 : x
  2. Step 2: Convert to fraction form
    12,771.65/17,624.54 = 7,106.11/x
  3. Step 3: Cross multiply
    12,771.65x = 17,624.54 × 7,106.11
  4. Step 4: Simplify right side
    12,771.65x = 125,241,919.94
  5. Step 5: Solve for x
    x = 125,241,919.94/12,771.65
  6. Step 6: Final answer
    x = 9,806.24

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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.