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Finding the Fourth Proportional to 8,203.32, 11,313 and 7,255.62

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Solution

The fourth proportional to 8,203.32, 11,313 and 7,255.62 is: 10,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.32 : 11,313 = 7,255.62 : x
  2. Step 2: Convert to fraction form
    8,203.32/11,313 = 7,255.62/x
  3. Step 3: Cross multiply
    8,203.32x = 11,313 × 7,255.62
  4. Step 4: Simplify right side
    8,203.32x = 82,082,829.06
  5. Step 5: Solve for x
    x = 82,082,829.06/8,203.32
  6. Step 6: Final answer
    x = 10,006.05

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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.