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Finding the Fourth Proportional to 7,662.13, 11,482.06 and 4,149.16

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Solution

The fourth proportional to 7,662.13, 11,482.06 and 4,149.16 is: 6,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.13 : 11,482.06 = 4,149.16 : x
  2. Step 2: Convert to fraction form
    7,662.13/11,482.06 = 4,149.16/x
  3. Step 3: Cross multiply
    7,662.13x = 11,482.06 × 4,149.16
  4. Step 4: Simplify right side
    7,662.13x = 47,640,904.07
  5. Step 5: Solve for x
    x = 47,640,904.07/7,662.13
  6. Step 6: Final answer
    x = 6,217.71

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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.