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Finding the Fourth Proportional to 6,338.28, 9,506.56 and 1,658.60

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Solution

The fourth proportional to 6,338.28, 9,506.56 and 1,658.60 is: 2,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.28 : 9,506.56 = 1,658.60 : x
  2. Step 2: Convert to fraction form
    6,338.28/9,506.56 = 1,658.60/x
  3. Step 3: Cross multiply
    6,338.28x = 9,506.56 × 1,658.60
  4. Step 4: Simplify right side
    6,338.28x = 15,767,580.42
  5. Step 5: Solve for x
    x = 15,767,580.42/6,338.28
  6. Step 6: Final answer
    x = 2,487.67

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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.