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Finding the Fourth Proportional to 6,105.66, 9,158.46 and 1,488.66

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Solution

The fourth proportional to 6,105.66, 9,158.46 and 1,488.66 is: 2,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.66 : 9,158.46 = 1,488.66 : x
  2. Step 2: Convert to fraction form
    6,105.66/9,158.46 = 1,488.66/x
  3. Step 3: Cross multiply
    6,105.66x = 9,158.46 × 1,488.66
  4. Step 4: Simplify right side
    6,105.66x = 13,633,833.06
  5. Step 5: Solve for x
    x = 13,633,833.06/6,105.66
  6. Step 6: Final answer
    x = 2,232.98

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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.