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Finding the Fourth Proportional to 16,000.56, 22,080.56 and 9,287.34

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Solution

The fourth proportional to 16,000.56, 22,080.56 and 9,287.34 is: 12,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.56 : 22,080.56 = 9,287.34 : x
  2. Step 2: Convert to fraction form
    16,000.56/22,080.56 = 9,287.34/x
  3. Step 3: Cross multiply
    16,000.56x = 22,080.56 × 9,287.34
  4. Step 4: Simplify right side
    16,000.56x = 205,069,668.11
  5. Step 5: Solve for x
    x = 205,069,668.11/16,000.56
  6. Step 6: Final answer
    x = 12,816.41

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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.