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Finding the Fourth Proportional to 10,977.80, 16,552.80 and 10,059.26

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Solution

The fourth proportional to 10,977.80, 16,552.80 and 10,059.26 is: 15,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.80 : 16,552.80 = 10,059.26 : x
  2. Step 2: Convert to fraction form
    10,977.80/16,552.80 = 10,059.26/x
  3. Step 3: Cross multiply
    10,977.80x = 16,552.80 × 10,059.26
  4. Step 4: Simplify right side
    10,977.80x = 166,508,836.16
  5. Step 5: Solve for x
    x = 166,508,836.16/10,977.80
  6. Step 6: Final answer
    x = 15,167.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.