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Finding the Fourth Proportional to 9,014.13, 12,448.02 and 8,523.27

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Solution

The fourth proportional to 9,014.13, 12,448.02 and 8,523.27 is: 11,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.13 : 12,448.02 = 8,523.27 : x
  2. Step 2: Convert to fraction form
    9,014.13/12,448.02 = 8,523.27/x
  3. Step 3: Cross multiply
    9,014.13x = 12,448.02 × 8,523.27
  4. Step 4: Simplify right side
    9,014.13x = 106,097,835.43
  5. Step 5: Solve for x
    x = 106,097,835.43/9,014.13
  6. Step 6: Final answer
    x = 11,770.17

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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.