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Finding the Fourth Proportional to 6,401.60, 8,841 and 5,209.68

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Solution

The fourth proportional to 6,401.60, 8,841 and 5,209.68 is: 7,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.60 : 8,841 = 5,209.68 : x
  2. Step 2: Convert to fraction form
    6,401.60/8,841 = 5,209.68/x
  3. Step 3: Cross multiply
    6,401.60x = 8,841 × 5,209.68
  4. Step 4: Simplify right side
    6,401.60x = 46,058,780.88
  5. Step 5: Solve for x
    x = 46,058,780.88/6,401.60
  6. Step 6: Final answer
    x = 7,194.89

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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.