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Finding the Fourth Proportional to 7,205.37, 9,945.29 and 4,694.37

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Solution

The fourth proportional to 7,205.37, 9,945.29 and 4,694.37 is: 6,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.37 : 9,945.29 = 4,694.37 : x
  2. Step 2: Convert to fraction form
    7,205.37/9,945.29 = 4,694.37/x
  3. Step 3: Cross multiply
    7,205.37x = 9,945.29 × 4,694.37
  4. Step 4: Simplify right side
    7,205.37x = 46,686,871.02
  5. Step 5: Solve for x
    x = 46,686,871.02/7,205.37
  6. Step 6: Final answer
    x = 6,479.46

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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.