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Finding the Fourth Proportional to 4,601.99, 6,903.84 and 4,184.66

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Solution

The fourth proportional to 4,601.99, 6,903.84 and 4,184.66 is: 6,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.99 : 6,903.84 = 4,184.66 : x
  2. Step 2: Convert to fraction form
    4,601.99/6,903.84 = 4,184.66/x
  3. Step 3: Cross multiply
    4,601.99x = 6,903.84 × 4,184.66
  4. Step 4: Simplify right side
    4,601.99x = 28,890,223.09
  5. Step 5: Solve for x
    x = 28,890,223.09/4,601.99
  6. Step 6: Final answer
    x = 6,277.77

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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.