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Finding the Fourth Proportional to 7,164.98, 10,750.20 and 2,785.52

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Solution

The fourth proportional to 7,164.98, 10,750.20 and 2,785.52 is: 4,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.98 : 10,750.20 = 2,785.52 : x
  2. Step 2: Convert to fraction form
    7,164.98/10,750.20 = 2,785.52/x
  3. Step 3: Cross multiply
    7,164.98x = 10,750.20 × 2,785.52
  4. Step 4: Simplify right side
    7,164.98x = 29,944,897.10
  5. Step 5: Solve for x
    x = 29,944,897.10/7,164.98
  6. Step 6: Final answer
    x = 4,179.34

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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.