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Finding the Fourth Proportional to 10,689.14, 16,033.97 and 5,065.49

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Solution

The fourth proportional to 10,689.14, 16,033.97 and 5,065.49 is: 7,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.14 : 16,033.97 = 5,065.49 : x
  2. Step 2: Convert to fraction form
    10,689.14/16,033.97 = 5,065.49/x
  3. Step 3: Cross multiply
    10,689.14x = 16,033.97 × 5,065.49
  4. Step 4: Simplify right side
    10,689.14x = 81,219,847.19
  5. Step 5: Solve for x
    x = 81,219,847.19/10,689.14
  6. Step 6: Final answer
    x = 7,598.36

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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.