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Finding the Fourth Proportional to 8,141.03, 11,232.59 and 4,738.60

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Solution

The fourth proportional to 8,141.03, 11,232.59 and 4,738.60 is: 6,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.03 : 11,232.59 = 4,738.60 : x
  2. Step 2: Convert to fraction form
    8,141.03/11,232.59 = 4,738.60/x
  3. Step 3: Cross multiply
    8,141.03x = 11,232.59 × 4,738.60
  4. Step 4: Simplify right side
    8,141.03x = 53,226,750.97
  5. Step 5: Solve for x
    x = 53,226,750.97/8,141.03
  6. Step 6: Final answer
    x = 6,538.09

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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.