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Finding the Fourth Proportional to 6,701.70, 10,051.35 and 4,232.10

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Solution

The fourth proportional to 6,701.70, 10,051.35 and 4,232.10 is: 6,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.70 : 10,051.35 = 4,232.10 : x
  2. Step 2: Convert to fraction form
    6,701.70/10,051.35 = 4,232.10/x
  3. Step 3: Cross multiply
    6,701.70x = 10,051.35 × 4,232.10
  4. Step 4: Simplify right side
    6,701.70x = 42,538,318.34
  5. Step 5: Solve for x
    x = 42,538,318.34/6,701.70
  6. Step 6: Final answer
    x = 6,347.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.