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Finding the Fourth Proportional to 7,433.88, 10,258.87 and 4,077

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Solution

The fourth proportional to 7,433.88, 10,258.87 and 4,077 is: 5,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.88 : 10,258.87 = 4,077 : x
  2. Step 2: Convert to fraction form
    7,433.88/10,258.87 = 4,077/x
  3. Step 3: Cross multiply
    7,433.88x = 10,258.87 × 4,077
  4. Step 4: Simplify right side
    7,433.88x = 41,825,412.99
  5. Step 5: Solve for x
    x = 41,825,412.99/7,433.88
  6. Step 6: Final answer
    x = 5,626.32

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1.5x scale

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.