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Finding the Fourth Proportional to 6,530, 9,011.40 and 3,735.50

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Solution

The fourth proportional to 6,530, 9,011.40 and 3,735.50 is: 5,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 9,011.40 = 3,735.50 : x
  2. Step 2: Convert to fraction form
    6,530/9,011.40 = 3,735.50/x
  3. Step 3: Cross multiply
    6,530x = 9,011.40 × 3,735.50
  4. Step 4: Simplify right side
    6,530x = 33,662,084.70
  5. Step 5: Solve for x
    x = 33,662,084.70/6,530
  6. Step 6: Final answer
    x = 5,154.99

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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.