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Finding the Fourth Proportional to 14,026, 21,022.86 and 5,696.88

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Solution

The fourth proportional to 14,026, 21,022.86 and 5,696.88 is: 8,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026 : 21,022.86 = 5,696.88 : x
  2. Step 2: Convert to fraction form
    14,026/21,022.86 = 5,696.88/x
  3. Step 3: Cross multiply
    14,026x = 21,022.86 × 5,696.88
  4. Step 4: Simplify right side
    14,026x = 119,764,710.68
  5. Step 5: Solve for x
    x = 119,764,710.68/14,026
  6. Step 6: Final answer
    x = 8,538.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.