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Finding the Fourth Proportional to 9,477.69, 14,216.13 and 3,633.95

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Solution

The fourth proportional to 9,477.69, 14,216.13 and 3,633.95 is: 5,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.69 : 14,216.13 = 3,633.95 : x
  2. Step 2: Convert to fraction form
    9,477.69/14,216.13 = 3,633.95/x
  3. Step 3: Cross multiply
    9,477.69x = 14,216.13 × 3,633.95
  4. Step 4: Simplify right side
    9,477.69x = 51,660,634.53
  5. Step 5: Solve for x
    x = 51,660,634.53/9,477.69
  6. Step 6: Final answer
    x = 5,450.76

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Half scale
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Double scale
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Similar ratio
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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.