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Finding the Fourth Proportional to 7,162.53, 10,669.94 and 6,944.90

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Solution

The fourth proportional to 7,162.53, 10,669.94 and 6,944.90 is: 10,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.53 : 10,669.94 = 6,944.90 : x
  2. Step 2: Convert to fraction form
    7,162.53/10,669.94 = 6,944.90/x
  3. Step 3: Cross multiply
    7,162.53x = 10,669.94 × 6,944.90
  4. Step 4: Simplify right side
    7,162.53x = 74,101,578.23
  5. Step 5: Solve for x
    x = 74,101,578.23/7,162.53
  6. Step 6: Final answer
    x = 10,345.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.