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Finding the Fourth Proportional to 7,758.54, 10,707.05 and 4,221.88

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Solution

The fourth proportional to 7,758.54, 10,707.05 and 4,221.88 is: 5,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.54 : 10,707.05 = 4,221.88 : x
  2. Step 2: Convert to fraction form
    7,758.54/10,707.05 = 4,221.88/x
  3. Step 3: Cross multiply
    7,758.54x = 10,707.05 × 4,221.88
  4. Step 4: Simplify right side
    7,758.54x = 45,203,880.25
  5. Step 5: Solve for x
    x = 45,203,880.25/7,758.54
  6. Step 6: Final answer
    x = 5,826.34

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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.