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Finding the Fourth Proportional to 7,113.43, 9,809.20 and 4,722.54

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Solution

The fourth proportional to 7,113.43, 9,809.20 and 4,722.54 is: 6,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.43 : 9,809.20 = 4,722.54 : x
  2. Step 2: Convert to fraction form
    7,113.43/9,809.20 = 4,722.54/x
  3. Step 3: Cross multiply
    7,113.43x = 9,809.20 × 4,722.54
  4. Step 4: Simplify right side
    7,113.43x = 46,324,339.37
  5. Step 5: Solve for x
    x = 46,324,339.37/7,113.43
  6. Step 6: Final answer
    x = 6,512.24

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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.