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Finding the Fourth Proportional to 11,496.50, 15,867.09 and 8,697.14

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Solution

The fourth proportional to 11,496.50, 15,867.09 and 8,697.14 is: 12,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.50 : 15,867.09 = 8,697.14 : x
  2. Step 2: Convert to fraction form
    11,496.50/15,867.09 = 8,697.14/x
  3. Step 3: Cross multiply
    11,496.50x = 15,867.09 × 8,697.14
  4. Step 4: Simplify right side
    11,496.50x = 137,998,303.12
  5. Step 5: Solve for x
    x = 137,998,303.12/11,496.50
  6. Step 6: Final answer
    x = 12,003.51

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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.