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Finding the Fourth Proportional to 7,231.35, 9,976.32 and 4,712.54

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Solution

The fourth proportional to 7,231.35, 9,976.32 and 4,712.54 is: 6,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.35 : 9,976.32 = 4,712.54 : x
  2. Step 2: Convert to fraction form
    7,231.35/9,976.32 = 4,712.54/x
  3. Step 3: Cross multiply
    7,231.35x = 9,976.32 × 4,712.54
  4. Step 4: Simplify right side
    7,231.35x = 47,013,807.05
  5. Step 5: Solve for x
    x = 47,013,807.05/7,231.35
  6. Step 6: Final answer
    x = 6,501.39

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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.