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Finding the Fourth Proportional to 7,205.99, 9,944.25 and 4,062.16

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Solution

The fourth proportional to 7,205.99, 9,944.25 and 4,062.16 is: 5,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.99 : 9,944.25 = 4,062.16 : x
  2. Step 2: Convert to fraction form
    7,205.99/9,944.25 = 4,062.16/x
  3. Step 3: Cross multiply
    7,205.99x = 9,944.25 × 4,062.16
  4. Step 4: Simplify right side
    7,205.99x = 40,395,084.86
  5. Step 5: Solve for x
    x = 40,395,084.86/7,205.99
  6. Step 6: Final answer
    x = 5,605.76

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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.