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Finding the Fourth Proportional to 7,482.98, 10,251.72 and 7,202.72

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Solution

The fourth proportional to 7,482.98, 10,251.72 and 7,202.72 is: 9,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.98 : 10,251.72 = 7,202.72 : x
  2. Step 2: Convert to fraction form
    7,482.98/10,251.72 = 7,202.72/x
  3. Step 3: Cross multiply
    7,482.98x = 10,251.72 × 7,202.72
  4. Step 4: Simplify right side
    7,482.98x = 73,840,268.68
  5. Step 5: Solve for x
    x = 73,840,268.68/7,482.98
  6. Step 6: Final answer
    x = 9,867.76

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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.