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Finding the Fourth Proportional to 9,772.66, 14,658.96 and 6,863.95

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Solution

The fourth proportional to 9,772.66, 14,658.96 and 6,863.95 is: 10,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.66 : 14,658.96 = 6,863.95 : x
  2. Step 2: Convert to fraction form
    9,772.66/14,658.96 = 6,863.95/x
  3. Step 3: Cross multiply
    9,772.66x = 14,658.96 × 6,863.95
  4. Step 4: Simplify right side
    9,772.66x = 100,618,291.49
  5. Step 5: Solve for x
    x = 100,618,291.49/9,772.66
  6. Step 6: Final answer
    x = 10,295.90

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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.