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Finding the Fourth Proportional to 6,333.12, 8,742.60 and 4,654.53

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Solution

The fourth proportional to 6,333.12, 8,742.60 and 4,654.53 is: 6,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.12 : 8,742.60 = 4,654.53 : x
  2. Step 2: Convert to fraction form
    6,333.12/8,742.60 = 4,654.53/x
  3. Step 3: Cross multiply
    6,333.12x = 8,742.60 × 4,654.53
  4. Step 4: Simplify right side
    6,333.12x = 40,692,693.98
  5. Step 5: Solve for x
    x = 40,692,693.98/6,333.12
  6. Step 6: Final answer
    x = 6,425.38

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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.