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Finding the Fourth Proportional to 6,414.60, 8,841.78 and 5,233.80

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Solution

The fourth proportional to 6,414.60, 8,841.78 and 5,233.80 is: 7,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.60 : 8,841.78 = 5,233.80 : x
  2. Step 2: Convert to fraction form
    6,414.60/8,841.78 = 5,233.80/x
  3. Step 3: Cross multiply
    6,414.60x = 8,841.78 × 5,233.80
  4. Step 4: Simplify right side
    6,414.60x = 46,276,108.16
  5. Step 5: Solve for x
    x = 46,276,108.16/6,414.60
  6. Step 6: Final answer
    x = 7,214.18

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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.