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Finding the Fourth Proportional to 7,224.54, 9,976.95 and 6,170.46

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Solution

The fourth proportional to 7,224.54, 9,976.95 and 6,170.46 is: 8,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.54 : 9,976.95 = 6,170.46 : x
  2. Step 2: Convert to fraction form
    7,224.54/9,976.95 = 6,170.46/x
  3. Step 3: Cross multiply
    7,224.54x = 9,976.95 × 6,170.46
  4. Step 4: Simplify right side
    7,224.54x = 61,562,370.90
  5. Step 5: Solve for x
    x = 61,562,370.90/7,224.54
  6. Step 6: Final answer
    x = 8,521.29

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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.