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Finding the Fourth Proportional to 4,658.70, 6,988.22 and 1,195.94

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Solution

The fourth proportional to 4,658.70, 6,988.22 and 1,195.94 is: 1,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.70 : 6,988.22 = 1,195.94 : x
  2. Step 2: Convert to fraction form
    4,658.70/6,988.22 = 1,195.94/x
  3. Step 3: Cross multiply
    4,658.70x = 6,988.22 × 1,195.94
  4. Step 4: Simplify right side
    4,658.70x = 8,357,491.83
  5. Step 5: Solve for x
    x = 8,357,491.83/4,658.70
  6. Step 6: Final answer
    x = 1,793.95

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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.