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Finding the Fourth Proportional to 6,237.04, 9,353.73 and 5,138.68

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Solution

The fourth proportional to 6,237.04, 9,353.73 and 5,138.68 is: 7,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.04 : 9,353.73 = 5,138.68 : x
  2. Step 2: Convert to fraction form
    6,237.04/9,353.73 = 5,138.68/x
  3. Step 3: Cross multiply
    6,237.04x = 9,353.73 × 5,138.68
  4. Step 4: Simplify right side
    6,237.04x = 48,065,825.28
  5. Step 5: Solve for x
    x = 48,065,825.28/6,237.04
  6. Step 6: Final answer
    x = 7,706.51

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1.5x scale

Why These Related Problems?

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