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Finding the Fourth Proportional to 6,093.50, 9,159.84 and 5,660.20

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Solution

The fourth proportional to 6,093.50, 9,159.84 and 5,660.20 is: 8,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.50 : 9,159.84 = 5,660.20 : x
  2. Step 2: Convert to fraction form
    6,093.50/9,159.84 = 5,660.20/x
  3. Step 3: Cross multiply
    6,093.50x = 9,159.84 × 5,660.20
  4. Step 4: Simplify right side
    6,093.50x = 51,846,526.37
  5. Step 5: Solve for x
    x = 51,846,526.37/6,093.50
  6. Step 6: Final answer
    x = 8,508.50

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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.