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Finding the Fourth Proportional to 9,238.59, 12,765.56 and 6,845.13

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Solution

The fourth proportional to 9,238.59, 12,765.56 and 6,845.13 is: 9,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.59 : 12,765.56 = 6,845.13 : x
  2. Step 2: Convert to fraction form
    9,238.59/12,765.56 = 6,845.13/x
  3. Step 3: Cross multiply
    9,238.59x = 12,765.56 × 6,845.13
  4. Step 4: Simplify right side
    9,238.59x = 87,381,883.50
  5. Step 5: Solve for x
    x = 87,381,883.50/9,238.59
  6. Step 6: Final answer
    x = 9,458.36

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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.