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Finding the Fourth Proportional to 7,627.41, 10,446.98 and 7,179.08

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Solution

The fourth proportional to 7,627.41, 10,446.98 and 7,179.08 is: 9,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.41 : 10,446.98 = 7,179.08 : x
  2. Step 2: Convert to fraction form
    7,627.41/10,446.98 = 7,179.08/x
  3. Step 3: Cross multiply
    7,627.41x = 10,446.98 × 7,179.08
  4. Step 4: Simplify right side
    7,627.41x = 74,999,617.05
  5. Step 5: Solve for x
    x = 74,999,617.05/7,627.41
  6. Step 6: Final answer
    x = 9,832.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.