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Finding the Fourth Proportional to 6,353.54, 8,764.94 and 4,116.18

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Solution

The fourth proportional to 6,353.54, 8,764.94 and 4,116.18 is: 5,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.54 : 8,764.94 = 4,116.18 : x
  2. Step 2: Convert to fraction form
    6,353.54/8,764.94 = 4,116.18/x
  3. Step 3: Cross multiply
    6,353.54x = 8,764.94 × 4,116.18
  4. Step 4: Simplify right side
    6,353.54x = 36,078,070.73
  5. Step 5: Solve for x
    x = 36,078,070.73/6,353.54
  6. Step 6: Final answer
    x = 5,678.42

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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.