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Finding the Fourth Proportional to 7,002.38, 9,663.10 and 3,858.57

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Solution

The fourth proportional to 7,002.38, 9,663.10 and 3,858.57 is: 5,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.38 : 9,663.10 = 3,858.57 : x
  2. Step 2: Convert to fraction form
    7,002.38/9,663.10 = 3,858.57/x
  3. Step 3: Cross multiply
    7,002.38x = 9,663.10 × 3,858.57
  4. Step 4: Simplify right side
    7,002.38x = 37,285,738.12
  5. Step 5: Solve for x
    x = 37,285,738.12/7,002.38
  6. Step 6: Final answer
    x = 5,324.72

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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.