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Finding the Fourth Proportional to 11,662.68, 16,094.28 and 6,946.80

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Solution

The fourth proportional to 11,662.68, 16,094.28 and 6,946.80 is: 9,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.68 : 16,094.28 = 6,946.80 : x
  2. Step 2: Convert to fraction form
    11,662.68/16,094.28 = 6,946.80/x
  3. Step 3: Cross multiply
    11,662.68x = 16,094.28 × 6,946.80
  4. Step 4: Simplify right side
    11,662.68x = 111,803,744.30
  5. Step 5: Solve for x
    x = 111,803,744.30/11,662.68
  6. Step 6: Final answer
    x = 9,586.45

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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.