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Finding the Fourth Proportional to 11,662.68, 16,094.50 and 6,626.91

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Solution

The fourth proportional to 11,662.68, 16,094.50 and 6,626.91 is: 9,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.68 : 16,094.50 = 6,626.91 : x
  2. Step 2: Convert to fraction form
    11,662.68/16,094.50 = 6,626.91/x
  3. Step 3: Cross multiply
    11,662.68x = 16,094.50 × 6,626.91
  4. Step 4: Simplify right side
    11,662.68x = 106,656,803.00
  5. Step 5: Solve for x
    x = 106,656,803.00/11,662.68
  6. Step 6: Final answer
    x = 9,145.14

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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.