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Finding the Fourth Proportional to 4,948.13, 7,423.46 and 3,647.37

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Solution

The fourth proportional to 4,948.13, 7,423.46 and 3,647.37 is: 5,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.13 : 7,423.46 = 3,647.37 : x
  2. Step 2: Convert to fraction form
    4,948.13/7,423.46 = 3,647.37/x
  3. Step 3: Cross multiply
    4,948.13x = 7,423.46 × 3,647.37
  4. Step 4: Simplify right side
    4,948.13x = 27,076,114.42
  5. Step 5: Solve for x
    x = 27,076,114.42/4,948.13
  6. Step 6: Final answer
    x = 5,471.99

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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.