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Finding the Fourth Proportional to 4,934.54, 7,401.87 and 1,647.63

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Solution

The fourth proportional to 4,934.54, 7,401.87 and 1,647.63 is: 2,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.54 : 7,401.87 = 1,647.63 : x
  2. Step 2: Convert to fraction form
    4,934.54/7,401.87 = 1,647.63/x
  3. Step 3: Cross multiply
    4,934.54x = 7,401.87 × 1,647.63
  4. Step 4: Simplify right side
    4,934.54x = 12,195,543.07
  5. Step 5: Solve for x
    x = 12,195,543.07/4,934.54
  6. Step 6: Final answer
    x = 2,471.47

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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.