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Finding the Fourth Proportional to 4,946.24, 7,405.00 and 3,463.63

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Solution

The fourth proportional to 4,946.24, 7,405.00 and 3,463.63 is: 5,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.24 : 7,405.00 = 3,463.63 : x
  2. Step 2: Convert to fraction form
    4,946.24/7,405.00 = 3,463.63/x
  3. Step 3: Cross multiply
    4,946.24x = 7,405.00 × 3,463.63
  4. Step 4: Simplify right side
    4,946.24x = 25,648,152.98
  5. Step 5: Solve for x
    x = 25,648,152.98/4,946.24
  6. Step 6: Final answer
    x = 5,185.38

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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.