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Finding the Fourth Proportional to 9,765.41, 13,466.18 and 8,353.77

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Solution

The fourth proportional to 9,765.41, 13,466.18 and 8,353.77 is: 11,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.41 : 13,466.18 = 8,353.77 : x
  2. Step 2: Convert to fraction form
    9,765.41/13,466.18 = 8,353.77/x
  3. Step 3: Cross multiply
    9,765.41x = 13,466.18 × 8,353.77
  4. Step 4: Simplify right side
    9,765.41x = 112,493,328.73
  5. Step 5: Solve for x
    x = 112,493,328.73/9,765.41
  6. Step 6: Final answer
    x = 11,519.58

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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.