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Finding the Fourth Proportional to 7,232.60, 9,986.89 and 5,346.31

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Solution

The fourth proportional to 7,232.60, 9,986.89 and 5,346.31 is: 7,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.60 : 9,986.89 = 5,346.31 : x
  2. Step 2: Convert to fraction form
    7,232.60/9,986.89 = 5,346.31/x
  3. Step 3: Cross multiply
    7,232.60x = 9,986.89 × 5,346.31
  4. Step 4: Simplify right side
    7,232.60x = 53,392,959.94
  5. Step 5: Solve for x
    x = 53,392,959.94/7,232.60
  6. Step 6: Final answer
    x = 7,382.27

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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.