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Finding the Fourth Proportional to 9,523.82, 13,126.10 and 8,035.58

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Solution

The fourth proportional to 9,523.82, 13,126.10 and 8,035.58 is: 11,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.82 : 13,126.10 = 8,035.58 : x
  2. Step 2: Convert to fraction form
    9,523.82/13,126.10 = 8,035.58/x
  3. Step 3: Cross multiply
    9,523.82x = 13,126.10 × 8,035.58
  4. Step 4: Simplify right side
    9,523.82x = 105,475,826.64
  5. Step 5: Solve for x
    x = 105,475,826.64/9,523.82
  6. Step 6: Final answer
    x = 11,074.95

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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.