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Finding the Fourth Proportional to 7,230.90, 9,976.32 and 4,716.54

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Solution

The fourth proportional to 7,230.90, 9,976.32 and 4,716.54 is: 6,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.90 : 9,976.32 = 4,716.54 : x
  2. Step 2: Convert to fraction form
    7,230.90/9,976.32 = 4,716.54/x
  3. Step 3: Cross multiply
    7,230.90x = 9,976.32 × 4,716.54
  4. Step 4: Simplify right side
    7,230.90x = 47,053,712.33
  5. Step 5: Solve for x
    x = 47,053,712.33/7,230.90
  6. Step 6: Final answer
    x = 6,507.31

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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.