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Finding the Fourth Proportional to 7,241.67, 9,992.88 and 4,216.32

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Solution

The fourth proportional to 7,241.67, 9,992.88 and 4,216.32 is: 5,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.67 : 9,992.88 = 4,216.32 : x
  2. Step 2: Convert to fraction form
    7,241.67/9,992.88 = 4,216.32/x
  3. Step 3: Cross multiply
    7,241.67x = 9,992.88 × 4,216.32
  4. Step 4: Simplify right side
    7,241.67x = 42,133,179.80
  5. Step 5: Solve for x
    x = 42,133,179.80/7,241.67
  6. Step 6: Final answer
    x = 5,818.16

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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.